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1312111211120 = 245167229428873
BaseRepresentation
bin10011000101111111111…
…011000011001001110000
311122102210021201201112222
4103011333323003021300
5132444200432223440
62442435304540212
7163540224162653
oct23057773031160
94572707651488
101312111211120
11466510632386
12192367481668
13969682c9658
1447713c7589a
15241e73122b5
hex1317fec3270

1312111211120 has 80 divisors (see below), whose sum is σ = 3082334592960. Its totient is φ = 519422318592.

The previous prime is 1312111211119. The next prime is 1312111211129. The reversal of 1312111211120 is 211121112131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312111211129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2845004 + ... + 3273876.

It is an arithmetic number, because the mean of its divisors is an integer number (38529182412).

Almost surely, 21312111211120 is an apocalyptic number.

1312111211120 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 1312111211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541167296480).

1312111211120 is an abundant number, since it is smaller than the sum of its proper divisors (1770223381840).

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

1312111211120 is a wasteful number, since it uses less digits than its factorization.

1312111211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429282 (or 429276 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 1312111211120 its reverse (211121112131), we get a palindrome (1523232323251).

It can be divided in two parts, 13121112111 and 20, that added together give a palindrome (13121112131).

The spelling of 1312111211120 in words is "one trillion, three hundred twelve billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 229 334 458 668 835 916 1145 1336 1670 1832 2290 2672 3340 3664 4580 6680 9160 13360 18320 38243 76486 152972 191215 305944 382430 428873 611888 764860 857746 1529720 1715492 2144365 3059440 3430984 4288730 6861968 8577460 17154920 34309840 71621791 98211917 143243582 196423834 286487164 358108955 392847668 491059585 572974328 716217910 785695336 982119170 1145948656 1432435820 1571390672 1964238340 2864871640 3928476680 5729743280 7856953360 16401390139 32802780278 65605560556 82006950695 131211121112 164013901390 262422242224 328027802780 656055605560 1312111211120