122934351456 has 768 divisors, whose sum is σ = 448084224000. Its totient is φ = 32009748480.

The previous prime is 122934351433. The next prime is 122934351473. The reversal of 122934351456 is 654153439221.

122934351456 is a `hidden beast` number, since 1 + 2 + 2 + 93 + 43 + 514 + 5 + 6 = 666.

It is a super-2 number, since 2×122934351456² (a number of 23 digits) contains 22 as substring.

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, 457004890 + ... + 457005158.

It is an arithmetic number, because the mean of its divisors is an integer number (583443000).

Almost surely, 2^122934351456 is an apocalyptic number.

122934351456 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 122934351456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224042112000).

122934351456 is an abundant number, since it is smaller than the sum of its proper divisors (325149872544).

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

122934351456 is a wasteful number, since it uses less digits than its factorization.

122934351456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 438 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 122934351456 in words is "one hundred twenty-two billion, nine hundred thirty-four million, three hundred fifty-one thousand, four hundred fifty-six".