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210012202000020 = 2235737521148317491
BaseRepresentation
bin101111110000000101000110…
…101100101101111010010100
31000112120222012110002010200110
4233300011012230231322110
5210011314442203000040
62022354135041443020
762143611100163160
oct5760050654557224
91015528173063613
10210012202000020
1160a09747027602
121b679931640470
1390250b1386654
1439c0905513ca0
151942d75354980
hexbf0146b2de94

210012202000020 has 384 divisors, whose sum is σ = 692032893898752. Its totient is φ = 46581673881600.

The previous prime is 210012201999961. The next prime is 210012202000039. The reversal of 210012202000020 is 20000202210012.

210012202000020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12006863475 + ... + 12006880965.

It is an arithmetic number, because the mean of its divisors is an integer number (1802168994528).

Almost surely, 2210012202000020 is an apocalyptic number.

210012202000020 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 210012202000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346016446949376).

210012202000020 is an abundant number, since it is smaller than the sum of its proper divisors (482020691898732).

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

210012202000020 is a wasteful number, since it uses less digits than its factorization.

210012202000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19551 (or 19549 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210012202000020 its reverse (20000202210012), we get a palindrome (230012404210032).

The spelling of 210012202000020 in words is "two hundred ten trillion, twelve billion, two hundred two million, twenty", and thus it is an aban number.