20121225102 has 96 divisors (see below), whose sum is σ = 49711034880. Its totient is φ = 5822372160.

The previous prime is 20121225101. The next prime is 20121225161. The reversal of 20121225102 is 20152212102.

20121225102 is a `hidden beast` number, since 20 + 12 + 122 + 510 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121225101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2943024 + ... + 2949852.

It is an arithmetic number, because the mean of its divisors is an integer number (517823280).

Almost surely, 2^20121225102 is an apocalyptic number.

20121225102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121225102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24855517440).

20121225102 is an abundant number, since it is smaller than the sum of its proper divisors (29589809778).

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

20121225102 is a wasteful number, since it uses less digits than its factorization.

20121225102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7518 (or 7515 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 20121225102 its reverse (20152212102), we get a palindrome (40273437204).

The spelling of 20121225102 in words is "twenty billion, one hundred twenty-one million, two hundred twenty-five thousand, one hundred two".