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122130948 = 223293111321
BaseRepresentation
bin1110100011110…
…01001000000100
322111210220011110
413101321020010
5222231142243
620041405020
73012044622
oct721711004
9274726143
10122130948
1162a37875
1234a99770
131c3c1b44
1412312512
15aac6e33
hex7479204

122130948 has 48 divisors (see below), whose sum is σ = 304335360. Its totient is φ = 38035200.

The previous prime is 122130929. The next prime is 122130949. The reversal of 122130948 is 849031221.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (122130949) 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 15 ways as a sum of consecutive naturals, for example, 5128 + ... + 16448.

It is an arithmetic number, because the mean of its divisors is an integer number (6340320).

Almost surely, 2122130948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122130948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152167680).

122130948 is an abundant number, since it is smaller than the sum of its proper divisors (182204412).

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

122130948 is a wasteful number, since it uses less digits than its factorization.

122130948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11388 (or 11386 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 122130948 is about 11051.2871648510. The cubic root of 122130948 is about 496.1449509150.

The spelling of 122130948 in words is "one hundred twenty-two million, one hundred thirty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 1798 2697 3596 5394 10788 11321 22642 33963 45284 67926 135852 328309 350951 656618 701902 984927 1052853 1313236 1403804 1969854 2105706 3939708 4211412 10177579 20355158 30532737 40710316 61065474 122130948