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122433132 = 22310202761
BaseRepresentation
bin1110100110000…
…10111001101100
322112101020200110
413103002321230
5222320330012
620052100020
73014443623
oct723027154
9275336613
10122433132
1163123908
1235004610
131c499553
14123906ba
15ab3673c
hex74c2e6c

122433132 has 12 divisors (see below), whose sum is σ = 285677336. Its totient is φ = 40811040.

The previous prime is 122433121. The next prime is 122433137. The reversal of 122433132 is 231334221.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1224331322 = 29979743622658848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122433099 and 122433108.

It is not an unprimeable number, because it can be changed into a prime (122433137) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5101369 + ... + 5101392.

Almost surely, 2122433132 is an apocalyptic number.

122433132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122433132 is an abundant number, since it is smaller than the sum of its proper divisors (163244204).

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

122433132 is a wasteful number, since it uses less digits than its factorization.

122433132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10202768 (or 10202766 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 122433132 is about 11064.9506099214. The cubic root of 122433132 is about 496.5538114728.

Adding to 122433132 its reverse (231334221), we get a palindrome (353767353).

The spelling of 122433132 in words is "one hundred twenty-two million, four hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 10202761 20405522 30608283 40811044 61216566 122433132