122970439914336 has 768 divisors, whose sum is σ = 433411717939200. Its totient is φ = 33136136294400.

The previous prime is 122970439914319. The next prime is 122970439914347. The reversal of 122970439914336 is 633419934079221.

It is a happy number.

122970439914336 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 70 + 4 + 399 + 143 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36916972191 + ... + 36916975521.

It is an arithmetic number, because the mean of its divisors is an integer number (564338174400).

Almost surely, 2^{122970439914336} is an apocalyptic number.

122970439914336 is a gapful number since it is divisible by the number (16) 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 122970439914336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216705858969600).

122970439914336 is an abundant number, since it is smaller than the sum of its proper divisors (310441278024864).

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

122970439914336 is a wasteful number, since it uses less digits than its factorization.

122970439914336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4706 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 122970439914336 in words is "one hundred twenty-two trillion, nine hundred seventy billion, four hundred thirty-nine million, nine hundred fourteen thousand, three hundred thirty-six".