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122111940 = 22354149639
BaseRepresentation
bin1110100011101…
…00011111000100
322111202221002110
413101310133010
5222230040230
620041141020
73011635326
oct721643704
9274687073
10122111940
1162a24565
1234a8a770
131c3b62b2
1412309616
15aac14b0
hex74747c4

122111940 has 48 divisors (see below), whose sum is σ = 350259840. Its totient is φ = 31768320.

The previous prime is 122111933. The next prime is 122111971. The reversal of 122111940 is 49111221.

It is a happy number.

It is a super-2 number, since 2×1221119402 = 29822651781127200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22360 + ... + 27279.

It is an arithmetic number, because the mean of its divisors is an integer number (7297080).

Almost surely, 2122111940 is an apocalyptic number.

122111940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111940 is an abundant number, since it is smaller than the sum of its proper divisors (228147900).

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

122111940 is a wasteful number, since it uses less digits than its factorization.

122111940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49692 (or 49690 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 122111940 is about 11050.4271410656. The cubic root of 122111940 is about 496.1192102034.

The spelling of 122111940 in words is "one hundred twenty-two million, one hundred eleven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 49639 99278 148917 198556 248195 297834 496390 595668 744585 992780 1489170 2035199 2978340 4070398 6105597 8140796 10175995 12211194 20351990 24422388 30527985 40703980 61055970 122111940