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132012812120000 = 265473071535747
BaseRepresentation
bin11110000001000010100000…
…110001011010111111000000
3122022102022010212010021021212
4132001002200301122333000
5114300344214400320000
61144433503151105252
736543416356346210
oct3601024061327700
9568368125107255
10132012812120000
1139077356969439
1212980b73812228
1358879a72b8746
14248565046c240
15103de52264c35
hex7810a0c5afc0

132012812120000 has 280 divisors, whose sum is σ = 375331847662464. Its totient is φ = 45114074496000.

The previous prime is 132012812119987. The next prime is 132012812120051. The reversal of 132012812120000 is 21218210231.

It is a tau number, because it is divible by the number of its divisors (280).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85192127 + ... + 86727873.

Almost surely, 2132012812120000 is an apocalyptic number.

132012812120000 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 132012812120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187665923831232).

132012812120000 is an abundant number, since it is smaller than the sum of its proper divisors (243319035542464).

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

132012812120000 is an equidigital number, since it uses as much as digits as its factorization.

132012812120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536093 (or 1536068 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The spelling of 132012812120000 in words is "one hundred thirty-two trillion, twelve billion, eight hundred twelve million, one hundred twenty thousand".