12120022100010 has 192 divisors, whose sum is σ = 33038281244160. Its totient is φ = 2821207213440.

The previous prime is 12120022099919. The next prime is 12120022100059. The reversal of 12120022100010 is 1000122002121.

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, 35831697 + ... + 36168363.

It is an arithmetic number, because the mean of its divisors is an integer number (172074381480).

Almost surely, 2^{12120022100010} is an apocalyptic number.

12120022100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120022100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16519140622080).

12120022100010 is an abundant number, since it is smaller than the sum of its proper divisors (20918259144150).

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

12120022100010 is a wasteful number, since it uses less digits than its factorization.

12120022100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336833 (or 336790 counting only the distinct ones).

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

Adding to 12120022100010 its reverse (1000122002121), we get a palindrome (13120144102131).

The spelling of 12120022100010 in words is "twelve trillion, one hundred twenty billion, twenty-two million, one hundred thousand, ten".