221130211320000 has 420 divisors, whose sum is σ = 792744262520496. Its totient is φ = 58915157760000.

The previous prime is 221130211319891. The next prime is 221130211320023. The reversal of 221130211320000 is 23112031122.

221130211320000 is a `hidden beast` number, since 2 + 2 + 1 + 130 + 211 + 320 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×221130211320000² (a number of 29 digits) contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 401845045 + ... + 402394955.

Almost surely, 2^{221130211320000} is an apocalyptic number.

221130211320000 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 221130211320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396372131260248).

221130211320000 is an abundant number, since it is smaller than the sum of its proper divisors (571614051200496).

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

221130211320000 is a wasteful number, since it uses less digits than its factorization.

221130211320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551066 (or 551038 counting only the distinct ones).

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

Adding to 221130211320000 its reverse (23112031122), we get a palindrome (221153323351122).

The spelling of 221130211320000 in words is "two hundred twenty-one trillion, one hundred thirty billion, two hundred eleven million, three hundred twenty thousand".