221013012132000 has 1536 divisors, whose sum is σ = 891334398689280. Its totient is φ = 52748236800000.

The previous prime is 221013012131981. The next prime is 221013012132149. The reversal of 221013012132000 is 231210310122.

221013012132000 is a `hidden beast` number, since 2 + 21 + 0 + 1 + 301 + 21 + 320 + 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 255 ways as a sum of consecutive naturals, for example, 20270838549 + ... + 20270849451.

It is an arithmetic number, because the mean of its divisors is an integer number (580295832480).

Almost surely, 2^{221013012132000} is an apocalyptic number.

221013012132000 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 221013012132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445667199344640).

221013012132000 is an abundant number, since it is smaller than the sum of its proper divisors (670321386557280).

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

221013012132000 is a wasteful number, since it uses less digits than its factorization.

221013012132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11212 (or 11188 counting only the distinct ones).

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

Adding to 221013012132000 its reverse (231210310122), we get a palindrome (221244222442122).

The spelling of 221013012132000 in words is "two hundred twenty-one trillion, thirteen billion, twelve million, one hundred thirty-two thousand".