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1202031440120 = 23573131668791
BaseRepresentation
bin10001011111011110101…
…010000011000011111000
311020220122122012221221102
4101133132222003003320
5124143230022040440
62320112225230532
7152562313442000
oct21373652030370
94226578187842
101202031440120
11423862458125
12174b65a92448
138947441c694
1442270249000
152140320db15
hex117dea830f8

1202031440120 has 128 divisors (see below), whose sum is σ = 3178099584000. Its totient is φ = 408978460800.

The previous prime is 1202031440059. The next prime is 1202031440143. The reversal of 1202031440120 is 210441302021.

It is a super-2 number, since 2×12020314401202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1202031440092 and 1202031440101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1462925 + ... + 2131715.

It is an arithmetic number, because the mean of its divisors is an integer number (24828903000).

Almost surely, 21202031440120 is an apocalyptic number.

1202031440120 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 1202031440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589049792000).

1202031440120 is an abundant number, since it is smaller than the sum of its proper divisors (1976068143880).

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

1202031440120 is a wasteful number, since it uses less digits than its factorization.

1202031440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668954 (or 668936 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1202031440120 its reverse (210441302021), we get a palindrome (1412472742141).

The spelling of 1202031440120 in words is "one trillion, two hundred two billion, thirty-one million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 131 140 196 245 262 280 343 392 490 524 655 686 917 980 1048 1310 1372 1715 1834 1960 2620 2744 3430 3668 4585 5240 6419 6860 7336 9170 12838 13720 18340 25676 32095 36680 44933 51352 64190 89866 128380 179732 224665 256760 359464 449330 668791 898660 1337582 1797320 2675164 3343955 4681537 5350328 6687910 9363074 13375820 18726148 23407685 26751640 32770759 37452296 46815370 65541518 87611621 93630740 131083036 163853795 175223242 187261480 229395313 262166072 327707590 350446484 438058105 458790626 613281347 655415180 700892968 876116210 917581252 1146976565 1226562694 1310830360 1752232420 1835162504 2293953130 2453125388 3066406735 3504464840 4292969429 4587906260 4906250776 6132813470 8585938858 9175812520 12265626940 17171877716 21464847145 24531253880 30050786003 34343755432 42929694290 60101572006 85859388580 120203144012 150253930015 171718777160 240406288024 300507860030 601015720060 1202031440120