1054312000 has 224 divisors, whose sum is σ = 3039319296. Its totient is φ = 354816000.

The previous prime is 1054311971. The next prime is 1054312031. The reversal of 1054312000 is 2134501.

1054312000 is digitally balanced in base 2, 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 (224).

It is a super-2 number, since 2×1054312000² = 2223147586688000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3751860 + ... + 3752140.

Almost surely, 2^1054312000 is an apocalyptic number.

1054312000 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 1054312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519659648).

1054312000 is an abundant number, since it is smaller than the sum of its proper divisors (1985007296).

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

1054312000 is an equidigital number, since it uses as much as digits as its factorization.

1054312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1054312000 is about 32470.1709265597. The cubic root of 1054312000 is about 1017.7857902466.

Adding to 1054312000 its reverse (2134501), we get a palindrome (1056446501).

The spelling of 1054312000 in words is "one billion, fifty-four million, three hundred twelve thousand".