20412121000 has 128 divisors (see below), whose sum is σ = 50765888160. Its totient is φ = 7655424000.

The previous prime is 20412120997. The next prime is 20412121031. The reversal of 20412121000 is 12121402.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 180472356 + 20231648644 = 13434^2 + 142238^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4774864 + ... + 4779136.

Almost surely, 2^20412121000 is an apocalyptic number.

20412121000 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 20412121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25382944080).

20412121000 is an abundant number, since it is smaller than the sum of its proper divisors (30353767160).

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

20412121000 is a wasteful number, since it uses less digits than its factorization.

20412121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20412121000 its reverse (12121402), we get a palindrome (20424242402).

The spelling of 20412121000 in words is "twenty billion, four hundred twelve million, one hundred twenty-one thousand".