1011211152000 has 1024 divisors, whose sum is σ = 3939862118400. Its totient is φ = 224667648000.

The previous prime is 1011211151981. The next prime is 1011211152169. The reversal of 1011211152000 is 2511121101.

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 127 ways as a sum of consecutive naturals, for example, 2111087761 + ... + 2111088239.

It is an arithmetic number, because the mean of its divisors is an integer number (3847521600).

Almost surely, 2^{1011211152000} is an apocalyptic number.

1011211152000 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 1011211152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969931059200).

1011211152000 is an abundant number, since it is smaller than the sum of its proper divisors (2928650966400).

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

1011211152000 is a wasteful number, since it uses less digits than its factorization.

1011211152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 1011211152000 its reverse (2511121101), we get a palindrome (1013722273101).

The spelling of 1011211152000 in words is "one trillion, eleven billion, two hundred eleven million, one hundred fifty-two thousand".