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122114040 = 23351017617
BaseRepresentation
bin1110100011101…
…00111111111000
322111210000222020
413101310333320
5222230122130
620041154440
73011644416
oct721647770
9274700866
10122114040
1162a260a4
1234a8ba20
131c3b7239
141230a2b6
15aac1e10
hex7474ff8

122114040 has 32 divisors (see below), whose sum is σ = 366342480. Its totient is φ = 32563712.

The previous prime is 122114039. The next prime is 122114087. The reversal of 122114040 is 40411221.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 7 ways as a sum of consecutive naturals, for example, 508689 + ... + 508928.

Almost surely, 2122114040 is an apocalyptic number.

122114040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122114040 is an abundant number, since it is smaller than the sum of its proper divisors (244228440).

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

122114040 is a wasteful number, since it uses less digits than its factorization.

122114040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017631 (or 1017627 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 122114040 is about 11050.5221596086. The cubic root of 122114040 is about 496.1220541633.

Adding to 122114040 its reverse (40411221), we get a palindrome (162525261).

The spelling of 122114040 in words is "one hundred twenty-two million, one hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1017617 2035234 3052851 4070468 5088085 6105702 8140936 10176170 12211404 15264255 20352340 24422808 30528510 40704680 61057020 122114040