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221221212212000 = 25537111355250053
BaseRepresentation
bin110010010011001100010011…
…110001010100101100100000
31002000021112121122022200201002
4302103030103301110230200
5212443442020311241000
62102255342155331132
764411463603016230
oct6223142361245440
91060245548280632
10221221212212000
11645404310832a0
122098a1a0450aa8
1396590bc714040
143c8b24167dcc0
151a89710eca8d5
hexc93313c54b20

221221212212000 has 384 divisors, whose sum is σ = 729788681276928. Its totient is φ = 63648059904000.

The previous prime is 221221212211927. The next prime is 221221212212041. The reversal of 221221212212000 is 212212122122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23621027 + ... + 31629026.

It is an arithmetic number, because the mean of its divisors is an integer number (1900491357492).

Almost surely, 2221221212212000 is an apocalyptic number.

221221212212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221212212000 is an abundant number, since it is smaller than the sum of its proper divisors (508567469064928).

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

221221212212000 is a wasteful number, since it uses less digits than its factorization.

221221212212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55250109 (or 55250091 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221221212212000 its reverse (212212122122), we get a palindrome (221433424334122).

The spelling of 221221212212000 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, two hundred twelve million, two hundred twelve thousand".