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212100210220000 = 255497120115431
BaseRepresentation
bin110000001110011101101101…
…101011111101101111100000
31000210222120201022220210020111
4300032131231223331233200
5210300022212304020000
62031033254052221104
762450506635210034
oct6016355553755740
91023876638823214
10212100210220000
1161644215256693
121b95653730a794
139146c6bbb321b
143a539c25461c4
15197c32e8c1cba
hexc0e76dafdbe0

212100210220000 has 240 divisors, whose sum is σ = 522691678422144. Its totient is φ = 84694968000000.

The previous prime is 212100210219973. The next prime is 212100210220009. The reversal of 212100210220000 is 22012001212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100210220009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39053617285 + ... + 39053622715.

Almost surely, 2212100210220000 is an apocalyptic number.

212100210220000 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 212100210220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261345839211072).

212100210220000 is an abundant number, since it is smaller than the sum of its proper divisors (310591468202144).

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

212100210220000 is an equidigital number, since it uses as much as digits as its factorization.

212100210220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8443 (or 8420 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212100210220000 its reverse (22012001212), we get a palindrome (212122222221212).

The spelling of 212100210220000 in words is "two hundred twelve trillion, one hundred billion, two hundred ten million, two hundred twenty thousand".