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122028480 = 2632576053
BaseRepresentation
bin1110100011000…
…00000111000000
322111121200121100
413101200013000
5222214402410
620035254400
73011140110
oct721400700
9274550540
10122028480
1162977892
1234a4a400
131c387302
14122c7040
15aaa68c0
hex74601c0

122028480 has 168 divisors, whose sum is σ = 479767392. Its totient is φ = 27887616.

The previous prime is 122028463. The next prime is 122028521. The reversal of 122028480 is 84820221.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1220284802 = 29781899862220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17134 + ... + 23186.

Almost surely, 2122028480 is an apocalyptic number.

122028480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239883696).

122028480 is an abundant number, since it is smaller than the sum of its proper divisors (357738912).

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

122028480 is a wasteful number, since it uses less digits than its factorization.

122028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6083 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 122028480 is about 11046.6501709794. The cubic root of 122028480 is about 496.0061567047.

The spelling of 122028480 in words is "one hundred twenty-two million, twenty-eight thousand, four hundred eighty".