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122120685 = 32523117991
BaseRepresentation
bin1110100011101…
…10100111101101
322111210101002100
413101312213231
5222230330220
620041245313
73012002661
oct721664755
9274711070
10122120685
1162a30095
1234a93839
131c3ba27b
141230c8a1
15aac3d90
hex74769ed

122120685 has 24 divisors (see below), whose sum is σ = 220881024. Its totient is φ = 62298720.

The previous prime is 122120651. The next prime is 122120729. The reversal of 122120685 is 586021221.

It is a happy number.

It is not a de Polignac number, because 122120685 - 210 = 122119661 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57961 + ... + 60030.

It is an arithmetic number, because the mean of its divisors is an integer number (9203376).

Almost surely, 2122120685 is an apocalyptic number.

122120685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122120685 is a deficient number, since it is larger than the sum of its proper divisors (98760339).

122120685 is a wasteful number, since it uses less digits than its factorization.

122120685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118025 (or 118022 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 122120685 is about 11050.8228200438. The cubic root of 122120685 is about 496.1310530501.

The spelling of 122120685 in words is "one hundred twenty-two million, one hundred twenty thousand, six hundred eighty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 117991 353973 589955 1061919 1769865 2713793 5309595 8141379 13568965 24424137 40706895 122120685