20122001211000 has 256 divisors, whose sum is σ = 67615897789440. Its totient is φ = 4952670374400.

The previous prime is 20122001210999. The next prime is 20122001211107. The reversal of 20122001211000 is 11210022102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 815204659 + ... + 815229341.

It is an arithmetic number, because the mean of its divisors is an integer number (264124600740).

Almost surely, 2^{20122001211000} is an apocalyptic number.

20122001211000 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 20122001211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33807948894720).

20122001211000 is an abundant number, since it is smaller than the sum of its proper divisors (47493896578440).

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

20122001211000 is a wasteful number, since it uses less digits than its factorization.

20122001211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45623 (or 45609 counting only the distinct ones).

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

Adding to 20122001211000 its reverse (11210022102), we get a palindrome (20133211233102).

The spelling of 20122001211000 in words is "twenty trillion, one hundred twenty-two billion, one million, two hundred eleven thousand".