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1132100123120 = 245294359192343
BaseRepresentation
bin10000011110010110011…
…011001111100111110000
311000020011000002222102122
4100132112123033213300
5122022020112414440
62224025110333412
7144535332162221
oct20362633174760
94006130088378
101132100123120
113a713700766a
121634aa05a268
13829ab2a2275
143cb187d1248
151e6adb687b5
hex107966cf9f0

1132100123120 has 160 divisors (see below), whose sum is σ = 2833457932800. Its totient is φ = 419816420352.

The previous prime is 1132100123117. The next prime is 1132100123123. The reversal of 1132100123120 is 213210012311.

It is an interprime number because it is at equal distance from previous prime (1132100123117) and next prime (1132100123123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132100123123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5789669 + ... + 5982011.

It is an arithmetic number, because the mean of its divisors is an integer number (17709112080).

Almost surely, 21132100123120 is an apocalyptic number.

1132100123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132100123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416728966400).

1132100123120 is an abundant number, since it is smaller than the sum of its proper divisors (1701357809680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1132100123120 is a wasteful number, since it uses less digits than its factorization.

1132100123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192487 (or 192481 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1132100123120 its reverse (213210012311), we get a palindrome (1345310135431).

The spelling of 1132100123120 in words is "one trillion, one hundred thirty-two billion, one hundred million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 43 58 59 80 86 116 118 145 172 215 232 236 290 295 344 430 464 472 580 590 688 860 944 1160 1180 1247 1711 1720 2320 2360 2494 2537 3422 3440 4720 4988 5074 6235 6844 8555 9976 10148 12470 12685 13688 17110 19952 20296 24940 25370 27376 34220 40592 49880 50740 68440 73573 99760 101480 136880 147146 192343 202960 294292 367865 384686 588584 735730 769372 961715 1177168 1471460 1538744 1923430 2942920 3077488 3846860 5577947 5885840 7693720 8270749 11155894 11348237 15387440 16541498 22311788 22696474 27889735 33082996 41353745 44623576 45392948 55779470 56741185 66165992 82707490 89247152 90785896 111558940 113482370 132331984 165414980 181571792 223117880 226964740 239851721 329098873 330829960 446235760 453929480 479703442 487974191 658197746 661659920 907858960 959406884 975948382 1199258605 1316395492 1645494365 1918813768 1951896764 2398517210 2439870955 2632790984 3290988730 3837627536 3903793528 4797034420 4879741910 5265581968 6581977460 7807587056 9594068840 9759483820 13163954920 14151251539 19188137680 19518967640 26327909840 28302503078 39037935280 56605006156 70756257695 113210012312 141512515390 226420024624 283025030780 566050061560 1132100123120