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122112020 = 22517359153
BaseRepresentation
bin1110100011101…
…00100000010100
322111202221012102
413101310200110
5222230041040
620041141232
73011635502
oct721644024
9274687172
10122112020
1162a24628
1234a8a818
131c3b6344
1412309672
15aac1515
hex7474814

122112020 has 24 divisors (see below), whose sum is σ = 271520424. Its totient is φ = 45971456.

The previous prime is 122112019. The next prime is 122112047. The reversal of 122112020 is 20211221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4866436 + 117245584 = 2206^2 + 10828^2 .

It is a super-2 number, since 2×1221120202 = 29822690856960800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111992 and 122112010.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 179237 + ... + 179916.

It is an arithmetic number, because the mean of its divisors is an integer number (11313351).

Almost surely, 2122112020 is an apocalyptic number.

122112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112020 is an abundant number, since it is smaller than the sum of its proper divisors (149408404).

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

122112020 is a wasteful number, since it uses less digits than its factorization.

122112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359179 (or 359177 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 122112020 is about 11050.4307608346. The cubic root of 122112020 is about 496.1193185454.

Adding to 122112020 its reverse (20211221), we get a palindrome (142323241).

The spelling of 122112020 in words is "one hundred twenty-two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 359153 718306 1436612 1795765 3591530 6105601 7183060 12211202 24422404 30528005 61056010 122112020