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132031312212120 = 23354325587463607
BaseRepresentation
bin11110000001010011101111…
…011101101011000010011000
3122022111001220011022022201220
4132001103233131223002120
5114301200111411241440
61144450203020212040
736544642666500636
oct3601235735530230
9568431804268656
10132031312212120
113908418a770472
121298467739a020
135889665004009
1424864c7476356
15103e6864a38d0
hex7814ef76b098

132031312212120 has 64 divisors (see below), whose sum is σ = 405305423550720. Its totient is φ = 34389551086464.

The previous prime is 132031312212089. The next prime is 132031312212131. The reversal of 132031312212120 is 21212213130231.

132031312212120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12793726644 + ... + 12793736963.

It is an arithmetic number, because the mean of its divisors is an integer number (6332897242980).

Almost surely, 2132031312212120 is an apocalyptic number.

132031312212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132031312212120 is an abundant number, since it is smaller than the sum of its proper divisors (273274111338600).

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

132031312212120 is a wasteful number, since it uses less digits than its factorization.

132031312212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25587463664 (or 25587463660 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 132031312212120 its reverse (21212213130231), we get a palindrome (153243525342351).

The spelling of 132031312212120 in words is "one hundred thirty-two trillion, thirty-one billion, three hundred twelve million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 25587463607 51174927214 76762390821 102349854428 127937318035 153524781642 204699708856 255874636070 307049563284 383811954105 511749272140 614099126568 767623908210 1023498544280 1100260935101 1535247816420 2200521870202 3070495632840 3300782805303 4401043740404 5501304675505 6601565610606 8802087480808 11002609351010 13203131221212 16503914026515 22005218702020 26406262442424 33007828053030 44010437404040 66015656106060 132031312212120