1200021122000 has 80 divisors (see below), whose sum is σ = 2904002776272. Its totient is φ = 479619417600.

The previous prime is 1200021121997. The next prime is 1200021122023. The reversal of 1200021122000 is 2211200021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 401864709184 + 798156412816 = 633928^2 + 893396^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1200021122000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2231474 + ... + 2716526.

Almost surely, 2^{1200021122000} is an apocalyptic number.

1200021122000 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 1200021122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452001388136).

1200021122000 is an abundant number, since it is smaller than the sum of its proper divisors (1703981654272).

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

1200021122000 is a wasteful number, since it uses less digits than its factorization.

1200021122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486313 (or 486297 counting only the distinct ones).

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

Adding to 1200021122000 its reverse (2211200021), we get a palindrome (1202232322021).

The spelling of 1200021122000 in words is "one trillion, two hundred billion, twenty-one million, one hundred twenty-two thousand".