1220002121000 has 256 divisors, whose sum is σ = 3115810152000. Its totient is φ = 444418867200.

The previous prime is 1220002120927. The next prime is 1220002121029. The reversal of 1220002121000 is 1212000221.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 1200001938916 + 20000182084 = 1095446^2 + 141422^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 713868146 + ... + 713869854.

Almost surely, 2^{1220002121000} is an apocalyptic number.

1220002121000 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 1220002121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557905076000).

1220002121000 is an abundant number, since it is smaller than the sum of its proper divisors (1895808031000).

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

1220002121000 is a wasteful number, since it uses less digits than its factorization.

1220002121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1220002121000 its reverse (1212000221), we get a palindrome (1221214121221).

The spelling of 1220002121000 in words is "one trillion, two hundred twenty billion, two million, one hundred twenty-one thousand".