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212100022220000 = 2554101839125149
BaseRepresentation
bin110000001110011101100010…
…011110110011010011100000
31000210222120020020011101201112
4300032131202132303103200
5210300021321142020000
62031033223254522452
762450502163222055
oct6016354236632340
91023876206141645
10212100022220000
116164412911a492
121b9564a4366428
139146c3bc6ac15
143a539a55a902c
15197c31d138235
hexc0e7627b34e0

212100022220000 has 240 divisors, whose sum is σ = 527596486956000. Its totient is φ = 83899219200000.

The previous prime is 212100022219961. The next prime is 212100022220059. The reversal of 212100022220000 is 22220001212.

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 39 ways as a sum of consecutive naturals, for example, 1694717426 + ... + 1694842574.

It is an arithmetic number, because the mean of its divisors is an integer number (2198318695650).

Almost surely, 2212100022220000 is an apocalyptic number.

212100022220000 is a gapful number since it is divisible by the number (20) 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 212100022220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263798243478000).

212100022220000 is an abundant number, since it is smaller than the sum of its proper divisors (315496464736000).

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

212100022220000 is a wasteful number, since it uses less digits than its factorization.

212100022220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126119 (or 126096 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212100022220000 its reverse (22220001212), we get a palindrome (212122242221212).

The spelling of 212100022220000 in words is "two hundred twelve trillion, one hundred billion, twenty-two million, two hundred twenty thousand".