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12431135540120 = 2351170003403591
BaseRepresentation
bin1011010011100101100101…
…1010110000001110011000
31122000101221012122210100212
42310321121122300032120
53112132431144240440
642234441304550252
72422056061436663
oct264713132601630
948011835583325
1012431135540120
113a63018a2a340
1214892a2182388
136c233573853b
1430d954d3a6da
15168567e99465
hexb4e596b0398

12431135540120 has 64 divisors (see below), whose sum is σ = 30513298717440. Its totient is φ = 4520337148800.

The previous prime is 12431135540107. The next prime is 12431135540141. The reversal of 12431135540120 is 2104553113421.

It is a super-2 number, since 2×124311355401202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30599525 + ... + 31003115.

It is an arithmetic number, because the mean of its divisors is an integer number (476770292460).

Almost surely, 212431135540120 is an apocalyptic number.

12431135540120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12431135540120 is an abundant number, since it is smaller than the sum of its proper divisors (18082163177320).

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

12431135540120 is a wasteful number, since it uses less digits than its factorization.

12431135540120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473616 (or 473612 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 12431135540120 its reverse (2104553113421), we get a palindrome (14535688653541).

The spelling of 12431135540120 in words is "twelve trillion, four hundred thirty-one billion, one hundred thirty-five million, five hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 70003 140006 280012 350015 403591 560024 700030 770033 807182 1400060 1540066 1614364 2017955 2800120 3080132 3228728 3850165 4035910 4439501 6160264 7700330 8071820 8879002 15400660 16143640 17758004 22197505 30801320 35516008 44395010 88790020 177580040 28252580773 56505161546 113010323092 141262903865 226020646184 282525807730 310778388503 565051615460 621556777006 1130103230920 1243113554012 1553891942515 2486227108024 3107783885030 6215567770060 12431135540120