20120121001200 has 480 divisors, whose sum is σ = 72324555432192. Its totient is φ = 4739825664000.

The previous prime is 20120121001181. The next prime is 20120121001207. The reversal of 20120121001200 is 210012102102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120121001207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66681072 + ... + 66982128.

Almost surely, 2^{20120121001200} is an apocalyptic number.

20120121001200 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 20120121001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36162277716096).

20120121001200 is an abundant number, since it is smaller than the sum of its proper divisors (52204434430992).

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

20120121001200 is a wasteful number, since it uses less digits than its factorization.

20120121001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301233 (or 301222 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20120121001200 its reverse (210012102102), we get a palindrome (20330133103302).

The spelling of 20120121001200 in words is "twenty trillion, one hundred twenty billion, one hundred twenty-one million, one thousand, two hundred".