1211876265600 has 2304 divisors, whose sum is σ = 5869384335360. Its totient is φ = 229920768000.

The previous prime is 1211876265559. The next prime is 1211876265617. The reversal of 1211876265600 is 65626781121.

1211876265600 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 87 + 6 + 2 + 6 + 560 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3661257435 + ... + 3661257765.

It is an arithmetic number, because the mean of its divisors is an integer number (2547475840).

Almost surely, 2^{1211876265600} is an apocalyptic number.

1211876265600 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 1211876265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934692167680).

1211876265600 is an abundant number, since it is smaller than the sum of its proper divisors (4657508069760).

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

1211876265600 is a wasteful number, since it uses less digits than its factorization.

1211876265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1211876265600 in words is "one trillion, two hundred eleven billion, eight hundred seventy-six million, two hundred sixty-five thousand, six hundred".