1213741900800 has 2376 divisors, whose sum is σ = 5474447066088. Its totient is φ = 254332108800.

The previous prime is 1213741900799. The next prime is 1213741900823. The reversal of 1213741900800 is 80091473121.

It is a happy number.

1213741900800 is a `hidden beast` number, since 1 + 21 + 374 + 190 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 80692356096 + 1133049544704 = 284064^2 + 1064448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6161126302 + ... + 6161126498.

It is an arithmetic number, because the mean of its divisors is an integer number (2304060213).

Almost surely, 2^{1213741900800} is an apocalyptic number.

1213741900800 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 1213741900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737223533044).

1213741900800 is an abundant number, since it is smaller than the sum of its proper divisors (4260705165288).

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

1213741900800 is a wasteful number, since it uses less digits than its factorization.

1213741900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1213741900800 in words is "one trillion, two hundred thirteen billion, seven hundred forty-one million, nine hundred thousand, eight hundred".