1011332112000 has 512 divisors, whose sum is σ = 3835988582400. Its totient is φ = 230891212800.

The previous prime is 1011332111989. The next prime is 1011332112019. The reversal of 1011332112000 is 2112331101.

It is a happy number.

1011332112000 is digitally balanced in base 2 and base 4, because in such bases 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 (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 490222969 + ... + 490225031.

It is an arithmetic number, because the mean of its divisors is an integer number (7492165200).

Almost surely, 2^{1011332112000} is an apocalyptic number.

1011332112000 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 1011332112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917994291200).

1011332112000 is an abundant number, since it is smaller than the sum of its proper divisors (2824656470400).

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

1011332112000 is a wasteful number, since it uses less digits than its factorization.

1011332112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1011332112000 its reverse (2112331101), we get a palindrome (1013444443101).

The spelling of 1011332112000 in words is "one trillion, eleven billion, three hundred thirty-two million, one hundred twelve thousand".