1251072000 has 384 divisors, whose sum is σ = 4650609600. Its totient is φ = 331776000.

The previous prime is 1251071993. The next prime is 1251072001. The reversal of 1251072000 is 2701521.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1251072000² = 3130362298368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1251072001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6911910 + ... + 6912090.

Almost surely, 2^1251072000 is an apocalyptic number.

1251072000 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 1251072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325304800).

1251072000 is an abundant number, since it is smaller than the sum of its proper divisors (3399537600).

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

1251072000 is an equidigital number, since it uses as much as digits as its factorization.

1251072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1251072000 is about 35370.4961797258. The cubic root of 1251072000 is about 1077.5251975596.

Adding to 1251072000 its reverse (2701521), we get a palindrome (1253773521).

The spelling of 1251072000 in words is "one billion, two hundred fifty-one million, seventy-two thousand".