122053200000 has 768 divisors, whose sum is σ = 445201505280. Its totient is φ = 29491200000.

The previous prime is 122053199999. The next prime is 122053200047. The reversal of 122053200000 is 2350221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 632399904 + ... + 632400096.

It is an arithmetic number, because the mean of its divisors is an integer number (579689460).

Almost surely, 2^122053200000 is an apocalyptic number.

122053200000 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 122053200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222600752640).

122053200000 is an abundant number, since it is smaller than the sum of its proper divisors (323148305280).

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

122053200000 is an equidigital number, since it uses as much as digits as its factorization.

122053200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 122053200000 its reverse (2350221), we get a palindrome (122055550221).

The spelling of 122053200000 in words is "one hundred twenty-two billion, fifty-three million, two hundred thousand".