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122683121 = 11151233317
BaseRepresentation
bin1110100111111…
…11111011110001
322112211221121022
413103333323301
5222401324441
620101305225
73016534511
oct723777361
9275757538
10122683121
1163284710
1235105215
131c556282
1412417841
15ab8584b
hex74ffef1

122683121 has 16 divisors (see below), whose sum is σ = 135727488. Its totient is φ = 109968000.

The previous prime is 122683117. The next prime is 122683147. The reversal of 122683121 is 121386221.

It is a cyclic number.

It is not a de Polignac number, because 122683121 - 22 = 122683117 is a prime.

It is a super-2 number, since 2×1226831212 = 30102296356601282, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122683721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386855 + ... + 387171.

It is an arithmetic number, because the mean of its divisors is an integer number (8482968).

Almost surely, 2122683121 is an apocalyptic number.

122683121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122683121 is the 5921-st centered heptagonal number.

It is an amenable number.

122683121 is a deficient number, since it is larger than the sum of its proper divisors (13044367).

122683121 is a wasteful number, since it uses less digits than its factorization.

122683121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712.

The product of its digits is 1152, while the sum is 26.

The square root of 122683121 is about 11076.2412848403. The cubic root of 122683121 is about 496.8915430379.

The spelling of 122683121 in words is "one hundred twenty-two million, six hundred eighty-three thousand, one hundred twenty-one".

Divisors: 1 11 151 233 317 1661 2563 3487 35183 47867 73861 387013 526537 812471 11153011 122683121