20121210000 has 250 divisors, whose sum is σ = 72775409102. Its totient is φ = 5365440000.

The previous prime is 20121209993. The next prime is 20121210017. The reversal of 20121210000 is 1212102.

It can be written as a sum of positive squares in 5 ways, for example, as 13097429136 + 7023780864 = 114444^2 + 83808^2 .

It is a tau number, because it is divible by the number of its divisors (250).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 797580 + ... + 822420.

Almost surely, 2^20121210000 is an apocalyptic number.

20121210000 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 20121210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36387704551).

20121210000 is an abundant number, since it is smaller than the sum of its proper divisors (52654199102).

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

20121210000 is an equidigital number, since it uses as much as digits as its factorization.

20121210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24881 (or 24851 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20121210000 its reverse (1212102), we get a palindrome (20122422102).

The spelling of 20121210000 in words is "twenty billion, one hundred twenty-one million, two hundred ten thousand".