10111211121200 has 240 divisors, whose sum is σ = 28258240118784. Its totient is φ = 3405338496000.

The previous prime is 10111211121161. The next prime is 10111211121223. The reversal of 10111211121200 is 212111211101.

It is a super-2 number, since 2×10111211121200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 35774837 + ... + 36056363.

Almost surely, 2^{10111211121200} is an apocalyptic number.

10111211121200 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 10111211121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14129120059392).

10111211121200 is an abundant number, since it is smaller than the sum of its proper divisors (18147028997584).

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

10111211121200 is a wasteful number, since it uses less digits than its factorization.

10111211121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281780 (or 281769 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10111211121200 its reverse (212111211101), we get a palindrome (10323322332301).

The spelling of 10111211121200 in words is "ten trillion, one hundred eleven billion, two hundred eleven million, one hundred twenty-one thousand, two hundred".