1187036083200 has 264 divisors, whose sum is σ = 4279875132960. Its totient is φ = 287766118400.

The previous prime is 1187036083169. The next prime is 1187036083223. The reversal of 1187036083200 is 23806307811.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142246 + ... + 1547354.

Almost surely, 2^{1187036083200} is an apocalyptic number.

1187036083200 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 1187036083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139937566480).

1187036083200 is an abundant number, since it is smaller than the sum of its proper divisors (3092839049760).

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

1187036083200 is a wasteful number, since it uses less digits than its factorization.

1187036083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405153 (or 1405130 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 1187036083200 in words is "one trillion, one hundred eighty-seven billion, thirty-six million, eighty-three thousand, two hundred".