11221311012000 has 192 divisors, whose sum is σ = 37754557311744. Its totient is φ = 2911475174400.

The previous prime is 11221311011983. The next prime is 11221311012077. The reversal of 11221311012000 is 21011312211.

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 31 ways as a sum of consecutive naturals, for example, 12192612 + ... + 13080611.

It is an arithmetic number, because the mean of its divisors is an integer number (196638319332).

Almost surely, 2^{11221311012000} is an apocalyptic number.

11221311012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221311012000 is an abundant number, since it is smaller than the sum of its proper divisors (26533246299744).

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

11221311012000 is a wasteful number, since it uses less digits than its factorization.

11221311012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25273288 (or 25273270 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11221311012000 its reverse (21011312211), we get a palindrome (11242322324211).

The spelling of 11221311012000 in words is "eleven trillion, two hundred twenty-one billion, three hundred eleven million, twelve thousand".