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122483880 = 233351947127
BaseRepresentation
bin1110100110011…
…11010010101000
322112110211022000
413103033102220
5222323441010
620053131000
73015044601
oct723172250
9275424260
10122483880
1163158a52
1235029a60
131c4b668c
14123a4da8
15ab467c0
hex74cf4a8

122483880 has 256 divisors, whose sum is σ = 442368000. Its totient is φ = 30046464.

The previous prime is 122483869. The next prime is 122483923. The reversal of 122483880 is 88384221.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 964377 + ... + 964503.

It is an arithmetic number, because the mean of its divisors is an integer number (1728000).

Almost surely, 2122483880 is an apocalyptic number.

122483880 is a gapful number since it is divisible by the number (10) 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 122483880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221184000).

122483880 is an abundant number, since it is smaller than the sum of its proper divisors (319884120).

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

122483880 is a wasteful number, since it uses less digits than its factorization.

122483880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 122483880 is about 11067.2435592608. The cubic root of 122483880 is about 496.6224084601.

The spelling of 122483880 in words is "one hundred twenty-two million, four hundred eighty-three thousand, eight hundred eighty".