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122708772 = 223223148199
BaseRepresentation
bin1110101000001…
…10001100100100
322112220020210100
413110012030210
5222403140042
620102024100
73020002344
oct724061444
9275806710
10122708772
11632a1a0a
1235118030
131c564b54
1412422d24
15ab8d24c
hex7506324

122708772 has 36 divisors (see below), whose sum is σ = 323668800. Its totient is φ = 39124272.

The previous prime is 122708767. The next prime is 122708779. The reversal of 122708772 is 277807221.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122708779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73272 + ... + 74927.

It is an arithmetic number, because the mean of its divisors is an integer number (8990800).

Almost surely, 2122708772 is an apocalyptic number.

122708772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122708772 is an abundant number, since it is smaller than the sum of its proper divisors (200960028).

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

122708772 is a wasteful number, since it uses less digits than its factorization.

122708772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148232 (or 148227 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 122708772 is about 11077.3991532309. The cubic root of 122708772 is about 496.9261712103.

The spelling of 122708772 in words is "one hundred twenty-two million, seven hundred eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 148199 296398 444597 592796 889194 1333791 1778388 2667582 3408577 5335164 6817154 10225731 13634308 20451462 30677193 40902924 61354386 122708772