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122040732 = 22311924551
BaseRepresentation
bin1110100011000…
…11000110011100
322111122022102010
413101203012130
5222220300412
620035431220
73011220612
oct721430634
9274568363
10122040732
1162986010
1234a55510
131c38ca68
14122cb6b2
15aaaa33c
hex746319c

122040732 has 24 divisors (see below), whose sum is σ = 310649472. Its totient is φ = 36982000.

The previous prime is 122040731. The next prime is 122040797. The reversal of 122040732 is 237040221.

It is a junction number, because it is equal to n+sod(n) for n = 122040699 and 122040708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122040731) 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 7 ways as a sum of consecutive naturals, for example, 462144 + ... + 462407.

It is an arithmetic number, because the mean of its divisors is an integer number (12943728).

Almost surely, 2122040732 is an apocalyptic number.

122040732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122040732 is an abundant number, since it is smaller than the sum of its proper divisors (188608740).

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

122040732 is a wasteful number, since it uses less digits than its factorization.

122040732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924569 (or 924567 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 122040732 is about 11047.2047143157. The cubic root of 122040732 is about 496.0227562834.

Adding to 122040732 its reverse (237040221), we get a palindrome (359080953).

The spelling of 122040732 in words is "one hundred twenty-two million, forty thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 924551 1849102 2773653 3698204 5547306 10170061 11094612 20340122 30510183 40680244 61020366 122040732