1121211011200 has 384 divisors, whose sum is σ = 3212794368000. Its totient is φ = 378689802240.

The previous prime is 1121211011183. The next prime is 1121211011231. The reversal of 1121211011200 is 21101121211.

It is a happy number.

It is a super-2 number, since 2×1121211011200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890556171 + ... + 890557429.

It is an arithmetic number, because the mean of its divisors is an integer number (8366652000).

Almost surely, 2^{1121211011200} is an apocalyptic number.

1121211011200 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 1121211011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606397184000).

1121211011200 is an abundant number, since it is smaller than the sum of its proper divisors (2091583356800).

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

1121211011200 is a wasteful number, since it uses less digits than its factorization.

1121211011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1121211011200 its reverse (21101121211), we get a palindrome (1142312132411).

The spelling of 1121211011200 in words is "one trillion, one hundred twenty-one billion, two hundred eleven million, eleven thousand, two hundred".