121012212020000 has 360 divisors, whose sum is σ = 349491110342220. Its totient is φ = 41109223680000.

The previous prime is 121012212019987. The next prime is 121012212020143. The reversal of 121012212020000 is 20212210121.

It can be written as a sum of positive squares in 10 ways, for example, as 17968680146704 + 103043531873296 = 4238948^2 + 10151036^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

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 59 ways as a sum of consecutive naturals, for example, 106253570 + ... + 107386430.

Almost surely, 2^{121012212020000} is an apocalyptic number.

121012212020000 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 121012212020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174745555171110).

121012212020000 is an abundant number, since it is smaller than the sum of its proper divisors (228478898322220).

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

121012212020000 is a wasteful number, since it uses less digits than its factorization.

121012212020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133014 (or 1132984 counting only the distinct ones).

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

Adding to 121012212020000 its reverse (20212210121), we get a palindrome (121032424230121).

The spelling of 121012212020000 in words is "one hundred twenty-one trillion, twelve billion, two hundred twelve million, twenty thousand".