12146055406212 has 192 divisors, whose sum is σ = 35503981148160. Its totient is φ = 3146238222336.

The previous prime is 12146055406211. The next prime is 12146055406231. The reversal of 12146055406212 is 21260455064121.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12146055406211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72268708 + ... + 72436580.

It is an arithmetic number, because the mean of its divisors is an integer number (184916568480).

Almost surely, 2^{12146055406212} is an apocalyptic number.

12146055406212 is a gapful number since it is divisible by the number (12) 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 12146055406212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17751990574080).

12146055406212 is an abundant number, since it is smaller than the sum of its proper divisors (23357925741948).

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

12146055406212 is a wasteful number, since it uses less digits than its factorization.

12146055406212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169082 (or 169080 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 12146055406212 in words is "twelve trillion, one hundred forty-six billion, fifty-five million, four hundred six thousand, two hundred twelve".