1213872000 has 512 divisors, whose sum is σ = 4659033600. Its totient is φ = 278784000.

The previous prime is 1213871957. The next prime is 1213872007. The reversal of 1213872000 is 2783121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213872007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63887991 + ... + 63888009.

It is an arithmetic number, because the mean of its divisors is an integer number (9099675).

Almost surely, 2^1213872000 is an apocalyptic number.

1213872000 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 1213872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329516800).

1213872000 is an abundant number, since it is smaller than the sum of its proper divisors (3445161600).

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

1213872000 is an equidigital number, since it uses as much as digits as its factorization.

1213872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1213872000 is about 34840.6658948993. The cubic root of 1213872000 is about 1066.7376688848.

The spelling of 1213872000 in words is "one billion, two hundred thirteen million, eight hundred seventy-two thousand".