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122351141 = 11315992
BaseRepresentation
bin1110100101011…
…10111000100101
322112020002012202
413102232320211
5222310214031
620050224245
73013652603
oct722567045
9275202182
10122351141
1163078250
1234b85085
131c46b133
141236c873
15ab1c2cb
hex74aee25

122351141 has 12 divisors (see below), whose sum is σ = 138009984. Its totient is φ = 107460600.

The previous prime is 122351137. The next prime is 122351197. The reversal of 122351141 is 141153221.

It is not a de Polignac number, because 122351141 - 22 = 122351137 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122351111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203960 + ... + 204558.

It is an arithmetic number, because the mean of its divisors is an integer number (11500832).

Almost surely, 2122351141 is an apocalyptic number.

122351141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122351141 is a deficient number, since it is larger than the sum of its proper divisors (15658843).

122351141 is an frugal number, since it uses more digits than its factorization.

122351141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 641 counting only the distinct ones).

The product of its digits is 240, while the sum is 20.

The square root of 122351141 is about 11061.2450022590. The cubic root of 122351141 is about 496.4429426950.

The spelling of 122351141 in words is "one hundred twenty-two million, three hundred fifty-one thousand, one hundred forty-one".

Divisors: 1 11 31 341 599 6589 18569 204259 358801 3946811 11122831 122351141