1011122113200 has 60 divisors (see below), whose sum is σ = 3238961173128. Its totient is φ = 269632563200.

The previous prime is 1011122113187. The next prime is 1011122113219. The reversal of 1011122113200 is 23112211101.

1011122113200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1011122113200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1011122113200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421299681 + ... + 421302080.

Almost surely, 2^{1011122113200} is an apocalyptic number.

1011122113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011122113200 is an abundant number, since it is smaller than the sum of its proper divisors (2227839059928).

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

1011122113200 is a wasteful number, since it uses less digits than its factorization.

1011122113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842601782 (or 842601771 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1011122113200 its reverse (23112211101), we get a palindrome (1034234324301).

The spelling of 1011122113200 in words is "one trillion, eleven billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred".