127212199920 has 320 divisors, whose sum is σ = 472466010240. Its totient is φ = 31274975232.

The previous prime is 127212199901. The next prime is 127212199969. The reversal of 127212199920 is 29991212721.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27431842 + ... + 27436478.

It is an arithmetic number, because the mean of its divisors is an integer number (1476456282).

Almost surely, 2^127212199920 is an apocalyptic number.

127212199920 is a gapful number since it is divisible by the number (10) 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 127212199920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236233005120).

127212199920 is an abundant number, since it is smaller than the sum of its proper divisors (345253810320).

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

127212199920 is a wasteful number, since it uses less digits than its factorization.

127212199920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5649 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 127212199920 in words is "one hundred twenty-seven billion, two hundred twelve million, one hundred ninety-nine thousand, nine hundred twenty".