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122113020 = 223513191543
BaseRepresentation
bin1110100011101…
…00101111111100
322111202222120110
413101310233330
5222230104040
620041150020
73011641431
oct721645774
9274688513
10122113020
1162a25357
1234a8b310
131c3b6933
1412309b88
15aac1980
hex7474bfc

122113020 has 48 divisors (see below), whose sum is σ = 342397440. Its totient is φ = 32517696.

The previous prime is 122112979. The next prime is 122113087. The reversal of 122113020 is 20311221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122112987 and 122113005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78369 + ... + 79911.

It is an arithmetic number, because the mean of its divisors is an integer number (7133280).

Almost surely, 2122113020 is an apocalyptic number.

122113020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122113020 is an abundant number, since it is smaller than the sum of its proper divisors (220284420).

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

122113020 is a wasteful number, since it uses less digits than its factorization.

122113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 122113020 is about 11050.4760078469. The cubic root of 122113020 is about 496.1206728154.

Adding to 122113020 its reverse (20311221), we get a palindrome (142424241).

It can be divided in two parts, 1221 and 13020, that added together give a palindrome (14241).

The spelling of 122113020 in words is "one hundred twenty-two million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1319 1543 2638 3086 3957 4629 5276 6172 6595 7715 7914 9258 13190 15430 15828 18516 19785 23145 26380 30860 39570 46290 79140 92580 2035217 4070434 6105651 8140868 10176085 12211302 20352170 24422604 30528255 40704340 61056510 122113020