212320121013000 has 3072 divisors, whose sum is σ = 995708802816000. Its totient is φ = 39613556736000.

The previous prime is 212320121012983. The next prime is 212320121013031. The reversal of 212320121013000 is 310121023212.

212320121013000 is a `hidden beast` number, since 2 + 1 + 2 + 320 + 1 + 210 + 130 + 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 767 ways as a sum of consecutive naturals, for example, 56333275116 + ... + 56333278884.

It is an arithmetic number, because the mean of its divisors is an integer number (324123959250).

Almost surely, 2^{212320121013000} is an apocalyptic number.

212320121013000 is a gapful number since it is divisible by the number (20) 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 212320121013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497854401408000).

212320121013000 is an abundant number, since it is smaller than the sum of its proper divisors (783388681803000).

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

212320121013000 is a wasteful number, since it uses less digits than its factorization.

212320121013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3847 counting only the distinct ones).

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

Adding to 212320121013000 its reverse (310121023212), we get a palindrome (212630242036212).

The spelling of 212320121013000 in words is "two hundred twelve trillion, three hundred twenty billion, one hundred twenty-one million, thirteen thousand".