11121201000 has 768 divisors, whose sum is σ = 47644047360. Its totient is φ = 2276812800.

The previous prime is 11121200957. The next prime is 11121201023. The reversal of 11121201000 is 10212111.

It is a happy number.

It is a super-2 number, since 2×11121201000² (a number of 21 digits) contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30302817 + ... + 30303183.

It is an arithmetic number, because the mean of its divisors is an integer number (62036520).

Almost surely, 2^11121201000 is an apocalyptic number.

11121201000 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 11121201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23822023680).

11121201000 is an abundant number, since it is smaller than the sum of its proper divisors (36522846360).

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

11121201000 is a wasteful number, since it uses less digits than its factorization.

11121201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11121201000 its reverse (10212111), we get a palindrome (11131413111).

The spelling of 11121201000 in words is "eleven billion, one hundred twenty-one million, two hundred one thousand".