1249167123072 has 288 divisors, whose sum is σ = 3959237100000. Its totient is φ = 377755868160.

The previous prime is 1249167123067. The next prime is 1249167123097. The reversal of 1249167123072 is 2703217619421.

1249167123072 is a `hidden beast` number, since 1 + 2 + 491 + 6 + 71 + 23 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69547629 + ... + 69565587.

Almost surely, 2^{1249167123072} is an apocalyptic number.

1249167123072 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 1249167123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979618550000).

1249167123072 is an abundant number, since it is smaller than the sum of its proper divisors (2710069976928).

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

1249167123072 is a wasteful number, since it uses less digits than its factorization.

1249167123072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18500 (or 18474 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1249167123072 in words is "one trillion, two hundred forty-nine billion, one hundred sixty-seven million, one hundred twenty-three thousand, seventy-two".