Search a number
-
+
122497920 = 2734517139
BaseRepresentation
bin1110100110100…
…10101110000000
322112111112120000
413103102232000
5222324413140
620053320000
73015133536
oct723225600
9275445500
10122497920
1163168556
1235036000
131c4bcb9c
14123aa156
15ab4aa30
hex74d2b80

122497920 has 320 divisors, whose sum is σ = 466527600. Its totient is φ = 30523392.

The previous prime is 122497919. The next prime is 122497939. The reversal of 122497920 is 29794221.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 881211 + ... + 881349.

Almost surely, 2122497920 is an apocalyptic number.

122497920 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 122497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233263800).

122497920 is an abundant number, since it is smaller than the sum of its proper divisors (344029680).

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

122497920 is a wasteful number, since it uses less digits than its factorization.

122497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 122497920 is about 11067.8778453686. The cubic root of 122497920 is about 496.6413832352.

The spelling of 122497920 in words is "one hundred twenty-two million, four hundred ninety-seven thousand, nine hundred twenty".