121012210011000 has 2048 divisors, whose sum is σ = 490921067520000. Its totient is φ = 24596877312000.

The previous prime is 121012210010933. The next prime is 121012210011059. The reversal of 121012210011000 is 110012210121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 113201318466 + ... + 113201319534.

It is an arithmetic number, because the mean of its divisors is an integer number (239707552500).

Almost surely, 2^{121012210011000} is an apocalyptic number.

121012210011000 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 121012210011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245460533760000).

121012210011000 is an abundant number, since it is smaller than the sum of its proper divisors (369908857509000).

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

121012210011000 is a wasteful number, since it uses less digits than its factorization.

121012210011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1307 counting only the distinct ones).

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

Adding to 121012210011000 its reverse (110012210121), we get a palindrome (121122222221121).

The spelling of 121012210011000 in words is "one hundred twenty-one trillion, twelve billion, two hundred ten million, eleven thousand".