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122122116 = 22323392281
BaseRepresentation
bin1110100011101…
…10111110000100
322111210110001100
413101312332010
5222230401431
620041300100
73012010104
oct721667604
9274713040
10122122116
1162a31176
1234a94630
131c3bab0c
141230d204
15aac44e6
hex7476f84

122122116 has 18 divisors (see below), whose sum is σ = 308697662. Its totient is φ = 40707360.

The previous prime is 122122097. The next prime is 122122129. The reversal of 122122116 is 611221221.

It can be written as a sum of positive squares in only one way, i.e., 99082116 + 23040000 = 9954^2 + 4800^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1221221162 = 29827622432634912, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1696105 + ... + 1696176.

Almost surely, 2122122116 is an apocalyptic number.

It is an amenable number.

122122116 is an abundant number, since it is smaller than the sum of its proper divisors (186575546).

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

122122116 is a wasteful number, since it uses less digits than its factorization.

122122116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392291 (or 3392286 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 122122116 is about 11050.8875661641. The cubic root of 122122116 is about 496.1329909166.

Adding to 122122116 its reverse (611221221), we get a palindrome (733343337).

The spelling of 122122116 in words is "one hundred twenty-two million, one hundred twenty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 3392281 6784562 10176843 13569124 20353686 30530529 40707372 61061058 122122116