121323210012000 has 576 divisors, whose sum is σ = 445441767511104. Its totient is φ = 31248637747200.

The previous prime is 121323210011989. The next prime is 121323210012019. The reversal of 121323210012000 is 210012323121.

121323210012000 is a `hidden beast` number, since 1 + 213 + 232 + 100 + 120 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182151579 + ... + 182816421.

It is an arithmetic number, because the mean of its divisors is an integer number (773336401929).

Almost surely, 2^{121323210012000} is an apocalyptic number.

121323210012000 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 121323210012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222720883755552).

121323210012000 is an abundant number, since it is smaller than the sum of its proper divisors (324118557499104).

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

121323210012000 is a wasteful number, since it uses less digits than its factorization.

121323210012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665048 (or 665027 counting only the distinct ones).

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

Adding to 121323210012000 its reverse (210012323121), we get a palindrome (121533222335121).

The spelling of 121323210012000 in words is "one hundred twenty-one trillion, three hundred twenty-three billion, two hundred ten million, twelve thousand".