122439287040 has 864 divisors, whose sum is σ = 479211384960. Its totient is φ = 26531463168.

The previous prime is 122439287029. The next prime is 122439287059. The reversal of 122439287040 is 40782934221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 122439286983 and 122439287001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299362356 + ... + 299362764.

Almost surely, 2^122439287040 is an apocalyptic number.

122439287040 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 122439287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239605692480).

122439287040 is an abundant number, since it is smaller than the sum of its proper divisors (356772097920).

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

122439287040 is a wasteful number, since it uses less digits than its factorization.

122439287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 122439287040 in words is "one hundred twenty-two billion, four hundred thirty-nine million, two hundred eighty-seven thousand, forty".