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122102020 = 2256105101
BaseRepresentation
bin1110100011100…
…10000100000100
322111202102111001
413101302010010
5222224231040
620041023044
73011564365
oct721620404
9274672431
10122102020
1162a18067
1234a84a84
131c3b1921
1412305b6c
15aabd59a
hex7472104

122102020 has 12 divisors (see below), whose sum is σ = 256414284. Its totient is φ = 48840800.

The previous prime is 122102017. The next prime is 122102023. The reversal of 122102020 is 20201221.

It is an interprime number because it is at equal distance from previous prime (122102017) and next prime (122102023).

It can be written as a sum of positive squares in 2 ways, for example, as 66031876 + 56070144 = 8126^2 + 7488^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 122101988 and 122102006.

It is not an unprimeable number, because it can be changed into a prime (122102023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3052531 + ... + 3052570.

It is an arithmetic number, because the mean of its divisors is an integer number (21367857).

Almost surely, 2122102020 is an apocalyptic number.

122102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102020 is an abundant number, since it is smaller than the sum of its proper divisors (134312264).

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

122102020 is a wasteful number, since it uses less digits than its factorization.

122102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6105110 (or 6105108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 122102020 is about 11049.9782805216. The cubic root of 122102020 is about 496.1057754379.

Adding to 122102020 its reverse (20201221), we get a palindrome (142303241).

The spelling of 122102020 in words is "one hundred twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 6105101 12210202 24420404 30525505 61051010 122102020