1221137220000 has 960 divisors, whose sum is σ = 4468419648000. Its totient is φ = 290594304000.

The previous prime is 1221137219993. The next prime is 1221137220031. The reversal of 1221137220000 is 227311221.

It is a super-2 number, since 2×1221137220000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1421579571 + ... + 1421580429.

It is an arithmetic number, because the mean of its divisors is an integer number (4654603800).

Almost surely, 2^{1221137220000} is an apocalyptic number.

1221137220000 is a gapful number since it is divisible by the number (10) 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 1221137220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234209824000).

1221137220000 is an abundant number, since it is smaller than the sum of its proper divisors (3247282428000).

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

1221137220000 is a wasteful number, since it uses less digits than its factorization.

1221137220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The spelling of 1221137220000 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-seven million, two hundred twenty thousand".