122462072640 has 280 divisors, whose sum is σ = 449674317312. Its totient is φ = 31602908160.

The previous prime is 122462072569. The next prime is 122462072687. The reversal of 122462072640 is 46270264221.

122462072640 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 6 + 2 + 0 + 7 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122462072595 and 122462072604.

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, 727317 + ... + 879723.

Almost surely, 2^122462072640 is an apocalyptic number.

122462072640 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 122462072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224837158656).

122462072640 is an abundant number, since it is smaller than the sum of its proper divisors (327212244672).

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

122462072640 is a wasteful number, since it uses less digits than its factorization.

122462072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152467 (or 152448 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 122462072640 in words is "one hundred twenty-two billion, four hundred sixty-two million, seventy-two thousand, six hundred forty".