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122180420 = 2256109021
BaseRepresentation
bin1110100100001…
…01001101000100
322111220102000202
413102011031010
5222234233140
620042430032
73012342065
oct722051504
9274812022
10122180420
1162a70a5a
1234b02318
131c40b50b
141232656c
15aad6915
hex7485344

122180420 has 12 divisors (see below), whose sum is σ = 256578924. Its totient is φ = 48872160.

The previous prime is 122180419. The next prime is 122180437. The reversal of 122180420 is 24081221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 68128516 + 54051904 = 8254^2 + 7352^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 6109021 = 122180420 / (1 + 2 + 2 + 1 + 8 + 0 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 122180392 and 122180401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3054491 + ... + 3054530.

It is an arithmetic number, because the mean of its divisors is an integer number (21381577).

Almost surely, 2122180420 is an apocalyptic number.

122180420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122180420 is an abundant number, since it is smaller than the sum of its proper divisors (134398504).

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

122180420 is a wasteful number, since it uses less digits than its factorization.

122180420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6109030 (or 6109028 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 122180420 is about 11053.5252295365. The cubic root of 122180420 is about 496.2119335812.

The spelling of 122180420 in words is "one hundred twenty-two million, one hundred eighty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 6109021 12218042 24436084 30545105 61090210 122180420