1281195346200 has 768 divisors, whose sum is σ = 5128814592000. Its totient is φ = 262217894400.

The previous prime is 1281195346183. The next prime is 1281195346229. The reversal of 1281195346200 is 26435911821.

It is a Cunningham number, because it is equal to 1131899²-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 151670377 + ... + 151678823.

It is an arithmetic number, because the mean of its divisors is an integer number (6678144000).

Almost surely, 2^{1281195346200} is an apocalyptic number.

1281195346200 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 1281195346200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564407296000).

1281195346200 is an abundant number, since it is smaller than the sum of its proper divisors (3847619245800).

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

1281195346200 is a wasteful number, since it uses less digits than its factorization.

1281195346200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8565 (or 8542 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 1281195346200 in words is "one trillion, two hundred eighty-one billion, one hundred ninety-five million, three hundred forty-six thousand, two hundred".