11211021960 has 128 divisors (see below), whose sum is σ = 36480326400. Its totient is φ = 2745098240.

The previous prime is 11211021959. The next prime is 11211021961. The reversal of 11211021960 is 6912011211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11211021959) and next prime (11211021961).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11211021960.

It is not an unprimeable number, because it can be changed into a prime (11211021961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16621 + ... + 150659.

It is an arithmetic number, because the mean of its divisors is an integer number (285002550).

Almost surely, 2^11211021960 is an apocalyptic number.

11211021960 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 11211021960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18240163200).

11211021960 is an abundant number, since it is smaller than the sum of its proper divisors (25269304440).

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

11211021960 is a wasteful number, since it uses less digits than its factorization.

11211021960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134111 (or 134107 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 11211021960 in words is "eleven billion, two hundred eleven million, twenty-one thousand, nine hundred sixty".