1101111120000 has 480 divisors, whose sum is σ = 4066545148380. Its totient is φ = 285686784000.

The previous prime is 1101111119993. The next prime is 1101111120049. The reversal of 1101111120000 is 211111011.

It can be written as a sum of positive squares in 10 ways, for example, as 53894551104 + 1047216568896 = 232152^2 + 1023336^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×1101111120000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26619334 + ... + 26660666.

Almost surely, 2^{1101111120000} is an apocalyptic number.

1101111120000 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 1101111120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033272574190).

1101111120000 is an abundant number, since it is smaller than the sum of its proper divisors (2965434028380).

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

1101111120000 is an equidigital number, since it uses as much as digits as its factorization.

1101111120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41410 (or 41380 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1101111120000 its reverse (211111011), we get a palindrome (1101322231011).

The spelling of 1101111120000 in words is "one trillion, one hundred one billion, one hundred eleven million, one hundred twenty thousand".