121011011022000 has 640 divisors, whose sum is σ = 455104648866816. Its totient is φ = 27336960000000.

The previous prime is 121011011021977. The next prime is 121011011022043. The reversal of 121011011022000 is 220110110121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112788075 + ... + 113855925.

Almost surely, 2^{121011011022000} is an apocalyptic number.

121011011022000 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 121011011022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227552324433408).

121011011022000 is an abundant number, since it is smaller than the sum of its proper divisors (334093637844816).

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

121011011022000 is a wasteful number, since it uses less digits than its factorization.

121011011022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068006 (or 1067990 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121011011022000 its reverse (220110110121), we get a palindrome (121231121132121).

The spelling of 121011011022000 in words is "one hundred twenty-one trillion, eleven billion, eleven million, twenty-two thousand".