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132022213212000 = 2535335394732911
BaseRepresentation
bin11110000001001011010001…
…000111101111011101100000
3122022110012102000221020002110
4132001023101013233131200
5114301022443040241000
61144442100101115320
736544201342330536
oct3601132107573540
9568405360836073
10132022213212000
1139080340600a61
12129829580b8b40
135888844ba0387
142485ca2c50156
15103e30276d850
hex7812d11ef760

132022213212000 has 384 divisors, whose sum is σ = 434201193474048. Its totient is φ = 35068053504000.

The previous prime is 132022213211927. The next prime is 132022213212017. The reversal of 132022213212000 is 212312220231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4011475545 + ... + 4011508455.

It is an arithmetic number, because the mean of its divisors is an integer number (1130732274672).

Almost surely, 2132022213212000 is an apocalyptic number.

132022213212000 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 132022213212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217100596737024).

132022213212000 is an abundant number, since it is smaller than the sum of its proper divisors (302178980262048).

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

132022213212000 is a wasteful number, since it uses less digits than its factorization.

132022213212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34239 (or 34221 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 132022213212000 its reverse (212312220231), we get a palindrome (132234525432231).

The spelling of 132022213212000 in words is "one hundred thirty-two trillion, twenty-two billion, two hundred thirteen million, two hundred twelve thousand".