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22211121011112 = 233211311814998101
BaseRepresentation
bin1010000110011011011011…
…11110100101100110101000
32220122100210012201221101200
411003031231332211212220
510402401333434323422
6115123351555044200
74451462166351615
oct503155576454650
986570705657350
1022211121011112
11709375784a2a0
1225a87b75a0660
13c51665b80b07
1456b049b9d50c
15287b677cc2ac
hex14336dfa59a8

22211121011112 has 192 divisors, whose sum is σ = 68114933752320. Its totient is φ = 6477537600000.

The previous prime is 22211121011089. The next prime is 22211121011137. The reversal of 22211121011112 is 21111012111222.

It is a happy number.

22211121011112 is a `hidden beast` number, since 222 + 111 + 210 + 11 + 112 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1944862 + ... + 6942962.

It is an arithmetic number, because the mean of its divisors is an integer number (354765279960).

Almost surely, 222211121011112 is an apocalyptic number.

22211121011112 is a gapful number since it is divisible by the number (22) 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 22211121011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34057466876160).

22211121011112 is an abundant number, since it is smaller than the sum of its proper divisors (45903812741208).

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

22211121011112 is a wasteful number, since it uses less digits than its factorization.

22211121011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4998336 (or 4998329 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 22211121011112 its reverse (21111012111222), we get a palindrome (43322133122334).

The spelling of 22211121011112 in words is "twenty-two trillion, two hundred eleven billion, one hundred twenty-one million, eleven thousand, one hundred twelve".