121233212100000 has 3456 divisors, whose sum is σ = 594376596463104. Its totient is φ = 22618828800000.

The previous prime is 121233212099957. The next prime is 121233212100059. The reversal of 121233212100000 is 1212332121.

121233212100000 is a `hidden beast` number, since 1 + 212 + 332 + 121 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 33333298182 + ... + 33333301818.

It is an arithmetic number, because the mean of its divisors is an integer number (171983968884).

Almost surely, 2^{121233212100000} is an apocalyptic number.

121233212100000 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 121233212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297188298231552).

121233212100000 is an abundant number, since it is smaller than the sum of its proper divisors (473143384363104).

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

121233212100000 is a wasteful number, since it uses less digits than its factorization.

121233212100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121233212100000 its reverse (1212332121), we get a palindrome (121234424432121).

121233212100000 divided by its reverse (1212332121) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 12123 and 3212100000, that added together give a palindrome (3212112123).

The spelling of 121233212100000 in words is "one hundred twenty-one trillion, two hundred thirty-three billion, two hundred twelve million, one hundred thousand".