1011998208000 has 832 divisors, whose sum is σ = 3692319321600. Its totient is φ = 244600012800.

The previous prime is 1011998207993. The next prime is 1011998208019. The reversal of 1011998208000 is 8028991101.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×1011998208000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1011998208000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1178111571 + ... + 1178112429.

It is an arithmetic number, because the mean of its divisors is an integer number (4437883800).

Almost surely, 2^{1011998208000} is an apocalyptic number.

1011998208000 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 1011998208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846159660800).

1011998208000 is an abundant number, since it is smaller than the sum of its proper divisors (2680321113600).

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

1011998208000 is an equidigital number, since it uses as much as digits as its factorization.

1011998208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 39.

The spelling of 1011998208000 in words is "one trillion, eleven billion, nine hundred ninety-eight million, two hundred eight thousand".