1201294195200 has 1440 divisors, whose sum is σ = 5061394800000. Its totient is φ = 278337945600.

The previous prime is 1201294195193. The next prime is 1201294195207. The reversal of 1201294195200 is 25914921021.

1201294195200 is a `hidden beast` number, since 1 + 2 + 0 + 129 + 4 + 1 + 9 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1201294195193) and next prime (1201294195207).

It is a tau number, because it is divible by the number of its divisors (1440).

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 (1201294195207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 961804176 + ... + 961805424.

It is an arithmetic number, because the mean of its divisors is an integer number (3514857500).

Almost surely, 2^{1201294195200} is an apocalyptic number.

1201294195200 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 1201294195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530697400000).

1201294195200 is an abundant number, since it is smaller than the sum of its proper divisors (3860100604800).

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

1201294195200 is a wasteful number, since it uses less digits than its factorization.

1201294195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 1201294195200 in words is "one trillion, two hundred one billion, two hundred ninety-four million, one hundred ninety-five thousand, two hundred".