20212211012000 has 384 divisors, whose sum is σ = 57303479600640. Its totient is φ = 6863139225600.

The previous prime is 20212211011943. The next prime is 20212211012003. The reversal of 20212211012000 is 21011221202.

It is a super-2 number, since 2×20212211012000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (20212211012003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7837226711 + ... + 7837229289.

It is an arithmetic number, because the mean of its divisors is an integer number (149227811460).

Almost surely, 2^{20212211012000} is an apocalyptic number.

20212211012000 is a gapful number since it is divisible by the number (20) 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 20212211012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28651739800320).

20212211012000 is an abundant number, since it is smaller than the sum of its proper divisors (37091268588640).

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

20212211012000 is a wasteful number, since it uses less digits than its factorization.

20212211012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20212211012000 its reverse (21011221202), we get a palindrome (20233222233202).

The spelling of 20212211012000 in words is "twenty trillion, two hundred twelve billion, two hundred eleven million, twelve thousand".