1199920283136 has 280 divisors, whose sum is σ = 3606508146384. Its totient is φ = 398648770560.

The previous prime is 1199920283069. The next prime is 1199920283141. The reversal of 1199920283136 is 6313820299911.

1199920283136 is a `hidden beast` number, since 119 + 9 + 9 + 202 + 8 + 313 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116074960 + ... + 116085296.

Almost surely, 2^{1199920283136} is an apocalyptic number.

1199920283136 is a gapful number since it is divisible by the number (16) 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 1199920283136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803254073192).

1199920283136 is an abundant number, since it is smaller than the sum of its proper divisors (2406587863248).

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

1199920283136 is an frugal number, since it uses more digits than its factorization.

1199920283136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10684 (or 10653 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 1199920283136 in words is "one trillion, one hundred ninety-nine billion, nine hundred twenty million, two hundred eighty-three thousand, one hundred thirty-six".