122273660300000 has 1152 divisors, whose sum is σ = 349873306675200. Its totient is φ = 41627520000000.

The previous prime is 122273660299979. The next prime is 122273660300063. The reversal of 122273660300000 is 3066372221.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 122273660300000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 278527699781 + ... + 278527700219.

It is an arithmetic number, because the mean of its divisors is an integer number (303709467600).

Almost surely, 2^{122273660300000} is an apocalyptic number.

122273660300000 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 122273660300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174936653337600).

122273660300000 is an abundant number, since it is smaller than the sum of its proper divisors (227599646375200).

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

122273660300000 is a wasteful number, since it uses less digits than its factorization.

122273660300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 122273660300000 in words is "one hundred twenty-two trillion, two hundred seventy-three billion, six hundred sixty million, three hundred thousand".