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221012200012212 = 223272116417618521
BaseRepresentation
bin110010010000001001101001…
…101011000011100110110100
31001222112120010012222211020100
4302100021221223003212310
5212432030441200342322
62102015334130434100
764360414230440250
oct6220115153034664
91058476105884210
10221012200012212
116446a825148aa4
122095578a732930
13964249026298b
143c810946cd260
151a8407b769dac
hexc90269ac39b4

221012200012212 has 288 divisors, whose sum is σ = 643426241971968. Its totient is φ = 62659215360000.

The previous prime is 221012200012169. The next prime is 221012200012229. The reversal of 221012200012212 is 212210002210122.

It is a happy number.

221012200012212 is a `hidden beast` number, since 221 + 0 + 1 + 220 + 0 + 0 + 1 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25937350512 + ... + 25937359032.

It is an arithmetic number, because the mean of its divisors is an integer number (2234118895736).

Almost surely, 2221012200012212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221012200012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321713120985984).

221012200012212 is an abundant number, since it is smaller than the sum of its proper divisors (422414041959756).

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

221012200012212 is a wasteful number, since it uses less digits than its factorization.

221012200012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10151 (or 10146 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221012200012212 its reverse (212210002210122), we get a palindrome (433222202222334).

The spelling of 221012200012212 in words is "two hundred twenty-one trillion, twelve billion, two hundred million, twelve thousand, two hundred twelve".