1309228693200 has 360 divisors, whose sum is σ = 4719105020448. Its totient is φ = 348576099840.

The previous prime is 1309228693193. The next prime is 1309228693217. The reversal of 1309228693200 is 23968229031.

It is a happy number.

1309228693200 is a `hidden beast` number, since 130 + 9 + 228 + 6 + 93 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63461287 + ... + 63481913.

Almost surely, 2^{1309228693200} is an apocalyptic number.

1309228693200 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 1309228693200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359552510224).

1309228693200 is an abundant number, since it is smaller than the sum of its proper divisors (3409876327248).

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

1309228693200 is a wasteful number, since it uses less digits than its factorization.

1309228693200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21313 (or 21290 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1309228693200 in words is "one trillion, three hundred nine billion, two hundred twenty-eight million, six hundred ninety-three thousand, two hundred".