120121211000 has 256 divisors, whose sum is σ = 341668454400. Its totient is φ = 38610432000.

The previous prime is 120121210991. The next prime is 120121211003. The reversal of 120121211000 is 112121021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121211003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12896345 + ... + 12905655.

It is an arithmetic number, because the mean of its divisors is an integer number (1334642400).

Almost surely, 2^120121211000 is an apocalyptic number.

120121211000 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 120121211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170834227200).

120121211000 is an abundant number, since it is smaller than the sum of its proper divisors (221547243400).

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

120121211000 is a wasteful number, since it uses less digits than its factorization.

120121211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9455 (or 9441 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120121211000 its reverse (112121021), we get a palindrome (120233332021).

The spelling of 120121211000 in words is "one hundred twenty billion, one hundred twenty-one million, two hundred eleven thousand".