1198906664120 has 256 divisors, whose sum is σ = 3061241856000. Its totient is φ = 418647398400.

The previous prime is 1198906664101. The next prime is 1198906664129. The reversal of 1198906664120 is 214666098911.

It is a super-3 number, since 3×1198906664120³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1198906664129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1446207866 + ... + 1446208694.

It is an arithmetic number, because the mean of its divisors is an integer number (11957976000).

Almost surely, 2^{1198906664120} is an apocalyptic number.

1198906664120 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 1198906664120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530620928000).

1198906664120 is an abundant number, since it is smaller than the sum of its proper divisors (1862335191880).

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

1198906664120 is a wasteful number, since it uses less digits than its factorization.

1198906664120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 53.

The spelling of 1198906664120 in words is "one trillion, one hundred ninety-eight billion, nine hundred six million, six hundred sixty-four thousand, one hundred twenty".