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122047488 = 21032171941
BaseRepresentation
bin1110100011001…
…00110000000000
322111122122200100
413101210300000
5222221004423
620035522400
73011246403
oct721446000
9274578610
10122047488
11629900a2
1234a59400
131c392b64
14122cdd3a
15aaac343
hex7464c00

122047488 has 264 divisors, whose sum is σ = 402358320. Its totient is φ = 35389440.

The previous prime is 122047439. The next prime is 122047489. The reversal of 122047488 is 884740221.

It is a super-2 number, since 2×1220474882 = 29791178654220288, which contains 22 as substring.

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 (122047489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2976748 + ... + 2976788.

Almost surely, 2122047488 is an apocalyptic number.

122047488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122047488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201179160).

122047488 is an abundant number, since it is smaller than the sum of its proper divisors (280310832).

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

122047488 is a wasteful number, since it uses less digits than its factorization.

122047488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 122047488 is about 11047.5104887934. The cubic root of 122047488 is about 496.0319091508.

The spelling of 122047488 in words is "one hundred twenty-two million, forty-seven thousand, four hundred eighty-eight".