20121221120130 has 192 divisors, whose sum is σ = 56532694563072. Its totient is φ = 4935954101760.

The previous prime is 20121221120111. The next prime is 20121221120149. The reversal of 20121221120130 is 3102112212102.

20121221120130 is a `hidden beast` number, since 201 + 21 + 2 + 211 + 201 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (20121221120111) and next prime (20121221120149).

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 403764315 + ... + 403814145.

It is an arithmetic number, because the mean of its divisors is an integer number (294441117516).

Almost surely, 2^{20121221120130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20121221120130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28266347281536).

20121221120130 is an abundant number, since it is smaller than the sum of its proper divisors (36411473442942).

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

20121221120130 is a wasteful number, since it uses less digits than its factorization.

20121221120130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51033 (or 51030 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20121221120130 its reverse (3102112212102), we get a palindrome (23223333332232).

The spelling of 20121221120130 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, one hundred thirty".