20211312000 has 512 divisors, whose sum is σ = 74009894400. Its totient is φ = 4838400000.

The previous prime is 20211311987. The next prime is 20211312067. The reversal of 20211312000 is 21311202.

It is a super-2 number, since 2×20211312000² (a number of 21 digits) contains 22 as substring.

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, 53327811 + ... + 53328189.

It is an arithmetic number, because the mean of its divisors is an integer number (144550575).

Almost surely, 2^20211312000 is an apocalyptic number.

20211312000 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 20211312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37004947200).

20211312000 is an abundant number, since it is smaller than the sum of its proper divisors (53798582400).

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

20211312000 is a wasteful number, since it uses less digits than its factorization.

20211312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20211312000 its reverse (21311202), we get a palindrome (20232623202).

The spelling of 20211312000 in words is "twenty billion, two hundred eleven million, three hundred twelve thousand".