1187020800000 has 1368 divisors, whose sum is σ = 5111471094912. Its totient is φ = 259522560000.

The previous prime is 1187020799999. The next prime is 1187020800001. The reversal of 1187020800000 is 80207811.

It is an interprime number because it is at equal distance from previous prime (1187020799999) and next prime (1187020800001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1187020800001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51609599989 + ... + 51609600011.

Almost surely, 2^{1187020800000} is an apocalyptic number.

1187020800000 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 1187020800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555735547456).

1187020800000 is an abundant number, since it is smaller than the sum of its proper divisors (3924450294912).

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

1187020800000 is an frugal number, since it uses more digits than its factorization.

1187020800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 1187020800000 in words is "one trillion, one hundred eighty-seven billion, twenty million, eight hundred thousand".