1011121123200 has 192 divisors, whose sum is σ = 3331065183600. Its totient is φ = 269576847360.

The previous prime is 1011121123171. The next prime is 1011121123213. The reversal of 1011121123200 is 23211211101.

It is a tau number, because it is divible by the number of its divisors (192).

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 1011121123200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70735254 + ... + 70749546.

Almost surely, 2^{1011121123200} is an apocalyptic number.

1011121123200 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 1011121123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665532591800).

1011121123200 is an abundant number, since it is smaller than the sum of its proper divisors (2319944060400).

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

1011121123200 is a wasteful number, since it uses less digits than its factorization.

1011121123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21689 (or 21672 counting only the distinct ones).

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

Adding to 1011121123200 its reverse (23211211101), we get a palindrome (1034332334301).

The spelling of 1011121123200 in words is "one trillion, eleven billion, one hundred twenty-one million, one hundred twenty-three thousand, two hundred".