1294545120 has 288 divisors, whose sum is σ = 4633251840. Its totient is φ = 303283200.

The previous prime is 1294545073. The next prime is 1294545169. The reversal of 1294545120 is 215454921.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1800121 + ... + 1800839.

It is an arithmetic number, because the mean of its divisors is an integer number (16087680).

Almost surely, 2^1294545120 is an apocalyptic number.

1294545120 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 1294545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316625920).

1294545120 is an abundant number, since it is smaller than the sum of its proper divisors (3338706720).

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

1294545120 is a wasteful number, since it uses less digits than its factorization.

1294545120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1294545120 is about 35979.7876591844. The cubic root of 1294545120 is about 1089.8642257165.

The spelling of 1294545120 in words is "one billion, two hundred ninety-four million, five hundred forty-five thousand, one hundred twenty".