11856021000 has 512 divisors, whose sum is σ = 41281643520. Its totient is φ = 2820096000.

The previous prime is 11856020999. The next prime is 11856021007. The reversal of 11856021000 is 12065811.

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

It is not an unprimeable number, because it can be changed into a prime (11856021007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115106949 + ... + 115107051.

It is an arithmetic number, because the mean of its divisors is an integer number (80628210).

Almost surely, 2^11856021000 is an apocalyptic number.

11856021000 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 11856021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20640821760).

11856021000 is an abundant number, since it is smaller than the sum of its proper divisors (29425622520).

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

11856021000 is a wasteful number, since it uses less digits than its factorization.

11856021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 11856021000 its reverse (12065811), we get a palindrome (11868086811).

It can be divided in two parts, 1185 and 6021000, that added together give a triangular number (6022185 = T₃₄₇₀).

The spelling of 11856021000 in words is "eleven billion, eight hundred fifty-six million, twenty-one thousand".