103302022122000 has 480 divisors, whose sum is σ = 388629443311200. Its totient is φ = 25423209676800.

The previous prime is 103302022121993. The next prime is 103302022122031. The reversal of 103302022122000 is 221220203301.

103302022122000 is a `hidden beast` number, since 10 + 330 + 202 + 2 + 122 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 81777729954816 + 21524292167184 = 9043104^2 + 4639428^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1275025492 + ... + 1275106508.

It is an arithmetic number, because the mean of its divisors is an integer number (809644673565).

Almost surely, 2^{103302022122000} is an apocalyptic number.

103302022122000 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 103302022122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194314721655600).

103302022122000 is an abundant number, since it is smaller than the sum of its proper divisors (285327421189200).

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

103302022122000 is a wasteful number, since it uses less digits than its factorization.

103302022122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86508 (or 86489 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103302022122000 its reverse (221220203301), we get a palindrome (103523242325301).

The spelling of 103302022122000 in words is "one hundred three trillion, three hundred two billion, twenty-two million, one hundred twenty-two thousand".