122012112020000 has 240 divisors, whose sum is σ = 317915652894840. Its totient is φ = 45920876544000.

The previous prime is 122012112019961. The next prime is 122012112020011. The reversal of 122012112020000 is 20211210221.

It can be written as a sum of positive squares in 20 ways, for example, as 102344057842576 + 19668054177424 = 10116524^2 + 4434868^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1236530666 + ... + 1236629334.

Almost surely, 2^{122012112020000} is an apocalyptic number.

122012112020000 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 122012112020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158957826447420).

122012112020000 is an abundant number, since it is smaller than the sum of its proper divisors (195903540874840).

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

122012112020000 is an equidigital number, since it uses as much as digits as its factorization.

122012112020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102353 (or 102330 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122012112020000 its reverse (20211210221), we get a palindrome (122032323230221).

The spelling of 122012112020000 in words is "one hundred twenty-two trillion, twelve billion, one hundred twelve million, twenty thousand".