11012021220000 has 240 divisors, whose sum is σ = 36207514661472. Its totient is φ = 2929557120000.

The previous prime is 11012021219959. The next prime is 11012021220001. The reversal of 11012021220000 is 2212021011.

11012021220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11012021220000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11012021220001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25042027 + ... + 25477973.

Almost surely, 2^{11012021220000} is an apocalyptic number.

11012021220000 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 11012021220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18103757330736).

11012021220000 is an abundant number, since it is smaller than the sum of its proper divisors (25195493441472).

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

11012021220000 is an equidigital number, since it uses as much as digits as its factorization.

11012021220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436401 (or 436378 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11012021220000 its reverse (2212021011), we get a palindrome (11014233241011).

The spelling of 11012021220000 in words is "eleven trillion, twelve billion, twenty-one million, two hundred twenty thousand".