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122096820 = 22352034947
BaseRepresentation
bin1110100011100…
…00110010110100
322111202011100110
413101300302310
5222224044240
620040543020
73011543256
oct721606264
9274664313
10122096820
1162a1416a
1234a81a70
131c3ac451
1412303cd6
15aabbc80
hex7470cb4

122096820 has 24 divisors (see below), whose sum is σ = 341871264. Its totient is φ = 32559136.

The previous prime is 122096809. The next prime is 122096833. The reversal of 122096820 is 28690221.

It is a super-2 number, since 2×1220968202 = 29815266908224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 1017414 + ... + 1017533.

It is an arithmetic number, because the mean of its divisors is an integer number (14244636).

Almost surely, 2122096820 is an apocalyptic number.

122096820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122096820 is an abundant number, since it is smaller than the sum of its proper divisors (219774444).

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

122096820 is a wasteful number, since it uses less digits than its factorization.

122096820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034959 (or 2034957 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 122096820 is about 11049.7429834363. The cubic root of 122096820 is about 496.0987327298.

The spelling of 122096820 in words is "one hundred twenty-two million, ninety-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2034947 4069894 6104841 8139788 10174735 12209682 20349470 24419364 30524205 40698940 61048410 122096820