213012201120000 has 720 divisors, whose sum is σ = 746319454077120. Its totient is φ = 53769830400000.

The previous prime is 213012201119969. The next prime is 213012201120011. The reversal of 213012201120000 is 21102210312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12047511160 + ... + 12047528840.

Almost surely, 2^{213012201120000} is an apocalyptic number.

213012201120000 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 213012201120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373159727038560).

213012201120000 is an abundant number, since it is smaller than the sum of its proper divisors (533307252957120).

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

213012201120000 is a wasteful number, since it uses less digits than its factorization.

213012201120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19060 (or 19031 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 213012201120000 its reverse (21102210312), we get a palindrome (213033303330312).

The spelling of 213012201120000 in words is "two hundred thirteen trillion, twelve billion, two hundred one million, one hundred twenty thousand".