1293921000 has 256 divisors, whose sum is σ = 4751136000. Its totient is φ = 324633600.

The previous prime is 1293920993. The next prime is 1293921049. The reversal of 1293921000 is 1293921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 457591 + ... + 460409.

It is an arithmetic number, because the mean of its divisors is an integer number (18559125).

Almost surely, 2^1293921000 is an apocalyptic number.

1293921000 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 1293921000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375568000).

1293921000 is an abundant number, since it is smaller than the sum of its proper divisors (3457215000).

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

1293921000 is a wasteful number, since it uses less digits than its factorization.

1293921000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1293921000 is about 35971.1134106244. The cubic root of 1293921000 is about 1089.6890508251.

1293921000 divided by its reverse (1293921) gives a cube (1000 = 10³).

The spelling of 1293921000 in words is "one billion, two hundred ninety-three million, nine hundred twenty-one thousand".