1206442191360 has 1280 divisors, whose sum is σ = 4904428953600. Its totient is φ = 246650241024.

The previous prime is 1206442191347. The next prime is 1206442191373. The reversal of 1206442191360 is 631912446021.

It is an interprime number because it is at equal distance from previous prime (1206442191347) and next prime (1206442191373).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×1206442191360² (a number of 25 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 2090887392 + ... + 2090887968.

It is an arithmetic number, because the mean of its divisors is an integer number (3831585120).

Almost surely, 2^{1206442191360} is an apocalyptic number.

1206442191360 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 1206442191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452214476800).

1206442191360 is an abundant number, since it is smaller than the sum of its proper divisors (3697986762240).

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

1206442191360 is a wasteful number, since it uses less digits than its factorization.

1206442191360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 1206442191360 in words is "one trillion, two hundred six billion, four hundred forty-two million, one hundred ninety-one thousand, three hundred sixty".