1200027890880 has 2688 divisors, whose sum is σ = 5590018344960. Its totient is φ = 239953674240.

The previous prime is 1200027890857. The next prime is 1200027890903. The reversal of 1200027890880 is 880987200021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1200027890857) and next prime (1200027890903).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14458167319 + ... + 14458167401.

It is an arithmetic number, because the mean of its divisors is an integer number (2079619920).

Almost surely, 2^{1200027890880} is an apocalyptic number.

1200027890880 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 1200027890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795009172480).

1200027890880 is an abundant number, since it is smaller than the sum of its proper divisors (4389990454080).

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

1200027890880 is a wasteful number, since it uses less digits than its factorization.

1200027890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 1200027890880 in words is "one trillion, two hundred billion, twenty-seven million, eight hundred ninety thousand, eight hundred eighty".