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122016408 = 2335084017
BaseRepresentation
bin1110100010111…
…01001010011000
322111121002001020
413101131022120
5222214011113
620035122440
73011056653
oct721351230
9274532036
10122016408
1162969808
1234a43420
131c381977
14122c289a
15aaa3023
hex745d298

122016408 has 16 divisors (see below), whose sum is σ = 305041080. Its totient is φ = 40672128.

The previous prime is 122016373. The next prime is 122016437. The reversal of 122016408 is 804610221.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5084017 = 122016408 / (1 + 2 + 2 + 0 + 1 + 6 + 4 + 0 + 8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2541985 + ... + 2542032.

Almost surely, 2122016408 is an apocalyptic number.

It is an amenable number.

122016408 is an abundant number, since it is smaller than the sum of its proper divisors (183024672).

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

122016408 is a wasteful number, since it uses less digits than its factorization.

122016408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084026 (or 5084022 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 122016408 is about 11046.1037474758. The cubic root of 122016408 is about 495.9897999116.

Adding to 122016408 its reverse (804610221), we get a palindrome (926626629).

The spelling of 122016408 in words is "one hundred twenty-two million, sixteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 5084017 10168034 15252051 20336068 30504102 40672136 61008204 122016408