1211870505600 has 384 divisors, whose sum is σ = 4507835736000. Its totient is φ = 317866291200.

The previous prime is 1211870505583. The next prime is 1211870505607. The reversal of 1211870505600 is 65050781121.

1211870505600 is a `hidden beast` number, since 1 + 2 + 11 + 87 + 0 + 5 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (1211870505607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5155431 + ... + 5385369.

Almost surely, 2^{1211870505600} is an apocalyptic number.

1211870505600 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 1211870505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253917868000).

1211870505600 is an abundant number, since it is smaller than the sum of its proper divisors (3295965230400).

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

1211870505600 is a wasteful number, since it uses less digits than its factorization.

1211870505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230033 (or 230010 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 1211870505600 in words is "one trillion, two hundred eleven billion, eight hundred seventy million, five hundred five thousand, six hundred".