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131232121332000 = 25353132613105563
BaseRepresentation
bin11101110101101011011011…
…111110011010000100100000
3122012122200001011200010120020
4131311223123332122010200
5114200101341030111000
61143035112042113440
736433131206214663
oct3565533376320440
9565580034603506
10131232121332000
11388a6259306497
12128757b7aab880
13582c19c881600
1424599507716da
1510289ae23aba0
hex775adbf9a120

131232121332000 has 576 divisors, whose sum is σ = 466294655788416. Its totient is φ = 32250288844800.

The previous prime is 131232121331999. The next prime is 131232121332049. The reversal of 131232121332000 is 233121232131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1243111219 + ... + 1243216781.

It is an arithmetic number, because the mean of its divisors is an integer number (809539332966).

Almost surely, 2131232121332000 is an apocalyptic number.

131232121332000 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 131232121332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233147327894208).

131232121332000 is an abundant number, since it is smaller than the sum of its proper divisors (335062534456416).

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

131232121332000 is a wasteful number, since it uses less digits than its factorization.

131232121332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106230 (or 106199 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131232121332000 its reverse (233121232131), we get a palindrome (131465242564131).

The spelling of 131232121332000 in words is "one hundred thirty-one trillion, two hundred thirty-two billion, one hundred twenty-one million, three hundred thirty-two thousand".