1272172749120 has 1344 divisors, whose sum is σ = 5691591360000. Its totient is φ = 253275144192.

The previous prime is 1272172749097. The next prime is 1272172749149. The reversal of 1272172749120 is 219472712721.

It is a happy number.

1272172749120 is a `hidden beast` number, since 1 + 2 + 72 + 1 + 72 + 7 + 491 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 2235804196 + ... + 2235804764.

It is an arithmetic number, because the mean of its divisors is an integer number (4234815000).

Almost surely, 2^{1272172749120} is an apocalyptic number.

1272172749120 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 1272172749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845795680000).

1272172749120 is an abundant number, since it is smaller than the sum of its proper divisors (4419418610880).

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

1272172749120 is a wasteful number, since it uses less digits than its factorization.

1272172749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 1272172749120 in words is "one trillion, two hundred seventy-two billion, one hundred seventy-two million, seven hundred forty-nine thousand, one hundred twenty".