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122040729 = 3329155863
BaseRepresentation
bin1110100011000…
…11000110011001
322111122022102000
413101203012121
5222220300404
620035431213
73011220606
oct721430631
9274568360
10122040729
1162986008
1234a55509
131c38ca65
14122cb6ad
15aaaa339
hex7463199

122040729 has 16 divisors (see below), whose sum is σ = 187036800. Its totient is φ = 78554448.

The previous prime is 122040719. The next prime is 122040731. The reversal of 122040729 is 927040221.

It is not a de Polignac number, because 122040729 - 25 = 122040697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122040719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77149 + ... + 78714.

It is an arithmetic number, because the mean of its divisors is an integer number (11689800).

Almost surely, 2122040729 is an apocalyptic number.

It is an amenable number.

122040729 is a deficient number, since it is larger than the sum of its proper divisors (64996071).

122040729 is a wasteful number, since it uses less digits than its factorization.

122040729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155901 (or 155895 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 122040729 is about 11047.2045785348. The cubic root of 122040729 is about 496.0227522190.

The spelling of 122040729 in words is "one hundred twenty-two million, forty thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 29 87 261 783 155863 467589 1402767 4208301 4520027 13560081 40680243 122040729