1011000211200 has 648 divisors, whose sum is σ = 4201033200000. Its totient is φ = 227163709440.

The previous prime is 1011000211171. The next prime is 1011000211231. The reversal of 1011000211200 is 21120001101.

It is a happy number.

1011000211200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23767551 + ... + 23810049.

Almost surely, 2^{1011000211200} is an apocalyptic number.

1011000211200 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 1011000211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100516600000).

1011000211200 is an abundant number, since it is smaller than the sum of its proper divisors (3190032988800).

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

1011000211200 is a wasteful number, since it uses less digits than its factorization.

1011000211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42597 (or 42575 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1011000211200 its reverse (21120001101), we get a palindrome (1032120212301).

The spelling of 1011000211200 in words is "one trillion, eleven billion, two hundred eleven thousand, two hundred".