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132322124121000 = 23353114147244273
BaseRepresentation
bin11110000101100010100101…
…001101000100001110101000
3122100111212112100012221221220
4132011202211031010032220
5114320431202233333000
61145231540012502040
736604646406104532
oct3605424515041650
9570455470187856
10132322124121000
1139186552487930
1212a10ab777a920
1358aabcc4079c8
1424965d4200852
1510470071d01a0
hex7858a53443a8

132322124121000 has 768 divisors, whose sum is σ = 471396881329920. Its totient is φ = 30629140480000.

The previous prime is 132322124120939. The next prime is 132322124121127. The reversal of 132322124121000 is 121421223231.

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 191 ways as a sum of consecutive naturals, for example, 2988754864 + ... + 2988799136.

It is an arithmetic number, because the mean of its divisors is an integer number (613798022565).

Almost surely, 2132322124121000 is an apocalyptic number.

132322124121000 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 132322124121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235698440664960).

132322124121000 is an abundant number, since it is smaller than the sum of its proper divisors (339074757208920).

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

132322124121000 is a wasteful number, since it uses less digits than its factorization.

132322124121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44443 (or 44382 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 132322124121000 its reverse (121421223231), we get a palindrome (132443545344231).

The spelling of 132322124121000 in words is "one hundred thirty-two trillion, three hundred twenty-two billion, one hundred twenty-four million, one hundred twenty-one thousand".