21111121120000 has 720 divisors, whose sum is σ = 55306541616480. Its totient is φ = 8033845248000.

The previous prime is 21111121119983. The next prime is 21111121120039. The reversal of 21111121120000 is 2112111112.

It is a happy number.

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, 41475679746 + ... + 41475680254.

It is an arithmetic number, because the mean of its divisors is an integer number (76814641134).

Almost surely, 2^{21111121120000} is an apocalyptic number.

21111121120000 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 21111121120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27653270808240).

21111121120000 is an abundant number, since it is smaller than the sum of its proper divisors (34195420496480).

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

21111121120000 is an frugal number, since it uses more digits than its factorization.

21111121120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21111121120000 its reverse (2112111112), we get a palindrome (21113233231112).

The spelling of 21111121120000 in words is "twenty-one trillion, one hundred eleven billion, one hundred twenty-one million, one hundred twenty thousand".