122376683520 has 1280 divisors, whose sum is σ = 563713920000. Its totient is φ = 24461180928.

The previous prime is 122376683467. The next prime is 122376683549. The reversal of 122376683520 is 25386673221.

122376683520 is a `hidden beast` number, since 1 + 2 + 237 + 6 + 68 + 352 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

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, 6440878071 + ... + 6440878089.

It is an arithmetic number, because the mean of its divisors is an integer number (440401500).

Almost surely, 2^122376683520 is an apocalyptic number.

122376683520 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 122376683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281856960000).

122376683520 is an abundant number, since it is smaller than the sum of its proper divisors (441337236480).

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

122376683520 is an frugal number, since it uses more digits than its factorization.

122376683520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 122376683520 in words is "one hundred twenty-two billion, three hundred seventy-six million, six hundred eighty-three thousand, five hundred twenty".