121022001000000 has 1323 divisors, whose sum is σ = 460009887833223. Its totient is φ = 30415564800000.

The previous prime is 121022000999993. The next prime is 121022001000067. The reversal of 121022001000000 is 100220121.

The square root of 121022001000000 is 11001000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 71219961612864 + 49802039387136 = 8439192^2 + 7057056^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 627056999904 + ... + 627057000096.

Almost surely, 2^{121022001000000} is an apocalyptic number.

121022001000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121022001000000 is the 11001000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121022001000000

121022001000000 is an abundant number, since it is smaller than the sum of its proper divisors (338987886833223).

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

121022001000000 is an frugal number, since it uses more digits than its factorization.

121022001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121022001000000 its reverse (100220121), we get a palindrome (121022101220121).

The spelling of 121022001000000 in words is "one hundred twenty-one trillion, twenty-two billion, one million", and thus it is an aban number.