221323002120000 has 1260 divisors, whose sum is σ = 894897850074228. Its totient is φ = 52203571200000.

The previous prime is 221323002119969. The next prime is 221323002120013. The reversal of 221323002120000 is 21200323122.

221323002120000 is a `hidden beast` number, since 2 + 213 + 230 + 0 + 21 + 200 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 75247158438144 + 146075843681856 = 8674512^2 + 12086184^2 .

It is a super-3 number, since 3×221323002120000³ (a number of 44 digits) contains 333 as substring.

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 179 ways as a sum of consecutive naturals, for example, 1611651340 + ... + 1611788660.

Almost surely, 2^{221323002120000} is an apocalyptic number.

221323002120000 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 221323002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447448925037114).

221323002120000 is an abundant number, since it is smaller than the sum of its proper divisors (673574847954228).

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

221323002120000 is a wasteful number, since it uses less digits than its factorization.

221323002120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137418 (or 137379 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221323002120000 its reverse (21200323122), we get a palindrome (221344202443122).

The spelling of 221323002120000 in words is "two hundred twenty-one trillion, three hundred twenty-three billion, two million, one hundred twenty thousand".