1267980000 has 240 divisors, whose sum is σ = 4754977920. Its totient is φ = 289728000.

The previous prime is 1267979971. The next prime is 1267980031. The reversal of 1267980000 is 897621.

1267980000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 418491 + ... + 421509.

It is an arithmetic number, because the mean of its divisors is an integer number (19812408).

Almost surely, 2^1267980000 is an apocalyptic number.

1267980000 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 1267980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377488960).

1267980000 is an abundant number, since it is smaller than the sum of its proper divisors (3486997920).

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

1267980000 is an equidigital number, since it uses as much as digits as its factorization.

1267980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1267980000 is about 35608.7068004442. The cubic root of 1267980000 is about 1082.3576751618.

The spelling of 1267980000 in words is "one billion, two hundred sixty-seven million, nine hundred eighty thousand".