1012001122000 has 160 divisors (see below), whose sum is σ = 2670618248064. Its totient is φ = 367842816000.

The previous prime is 1012001121997. The next prime is 1012001122043. The reversal of 1012001122000 is 2211002101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 59545504 + ... + 59562496.

Almost surely, 2^{1012001122000} is an apocalyptic number.

1012001122000 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 1012001122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335309124032).

1012001122000 is an abundant number, since it is smaller than the sum of its proper divisors (1658617126064).

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

1012001122000 is a wasteful number, since it uses less digits than its factorization.

1012001122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19734 (or 19718 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1012001122000 its reverse (2211002101), we get a palindrome (1014212124101).

The spelling of 1012001122000 in words is "one trillion, twelve billion, one million, one hundred twenty-two thousand".