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122608390080 = 263511217292141
BaseRepresentation
bin111001000110000000…
…1111000111111000000
3102201110210022120000110
41302030001320333000
54002100221440310
6132154151151320
711600231056131
oct1621401707700
9381423276013
10122608390080
1147aa8270200
121b919375540
13b73c707157
145d1192dc88
1532c8e91d20
hex1c8c078fc0

122608390080 has 672 divisors, whose sum is σ = 468899565120. Its totient is φ = 26997555200.

The previous prime is 122608390061. The next prime is 122608390081. The reversal of 122608390080 is 80093806221.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122608390081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57265810 + ... + 57267950.

It is an arithmetic number, because the mean of its divisors is an integer number (697767210).

Almost surely, 2122608390080 is an apocalyptic number.

122608390080 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 122608390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234449782560).

122608390080 is an abundant number, since it is smaller than the sum of its proper divisors (346291175040).

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

122608390080 is a wasteful number, since it uses less digits than its factorization.

122608390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 122608390080 in words is "one hundred twenty-two billion, six hundred eight million, three hundred ninety thousand, eighty".