122004007939440 has 800 divisors, whose sum is σ = 487456409721600. Its totient is φ = 27970115235840.

The previous prime is 122004007939309. The next prime is 122004007939469. The reversal of 122004007939440 is 44939700400221.

122004007939440 is a `hidden beast` number, since 1 + 2 + 200 + 400 + 7 + 9 + 39 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 762402156 + ... + 762562164.

It is an arithmetic number, because the mean of its divisors is an integer number (609320512152).

Almost surely, 2^{122004007939440} is an apocalyptic number.

122004007939440 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 122004007939440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243728204860800).

122004007939440 is an abundant number, since it is smaller than the sum of its proper divisors (365452401782160).

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

122004007939440 is a wasteful number, since it uses less digits than its factorization.

122004007939440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160627 (or 160612 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 122004007939440 in words is "one hundred twenty-two trillion, four billion, seven million, nine hundred thirty-nine thousand, four hundred forty".