1213378560 has 312 divisors, whose sum is σ = 4370062320. Its totient is φ = 311033856.

The previous prime is 1213378541. The next prime is 1213378567. The reversal of 1213378560 is 658733121.

1213378560 is a `hidden beast` number, since 1 + 21 + 3 + 3 + 78 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1213378567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5345167 + ... + 5345393.

It is an arithmetic number, because the mean of its divisors is an integer number (14006610).

Almost surely, 2^1213378560 is an apocalyptic number.

1213378560 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 1213378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185031160).

1213378560 is an abundant number, since it is smaller than the sum of its proper divisors (3156683760).

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

1213378560 is a wasteful number, since it uses less digits than its factorization.

1213378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1213378560 is about 34833.5837949528. The cubic root of 1213378560 is about 1066.5931060383.

The spelling of 1213378560 in words is "one billion, two hundred thirteen million, three hundred seventy-eight thousand, five hundred sixty".