1282372000 has 288 divisors, whose sum is σ = 3913588224. Its totient is φ = 404352000.

The previous prime is 1282371991. The next prime is 1282372037. The reversal of 1282372000 is 2732821.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4731865 + ... + 4732135.

It is an arithmetic number, because the mean of its divisors is an integer number (13588848).

Almost surely, 2^1282372000 is an apocalyptic number.

1282372000 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 1282372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956794112).

1282372000 is an abundant number, since it is smaller than the sum of its proper divisors (2631216224).

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

1282372000 is a wasteful number, since it uses less digits than its factorization.

1282372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1282372000 is about 35810.2220043384. Note that the first 3 decimals coincide. The cubic root of 1282372000 is about 1086.4373201276.

The spelling of 1282372000 in words is "one billion, two hundred eighty-two million, three hundred seventy-two thousand".