1211011121120 has 192 divisors, whose sum is σ = 3056333503104. Its totient is φ = 452461363200.

The previous prime is 1211011121077. The next prime is 1211011121171. The reversal of 1211011121120 is 211211101121.

It is a junction number, because it is equal to n+sod(n) for n = 1211011121095 and 1211011121104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27110324 + ... + 27154956.

It is an arithmetic number, because the mean of its divisors is an integer number (15918403662).

Almost surely, 2^{1211011121120} is an apocalyptic number.

1211011121120 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 1211011121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528166751552).

1211011121120 is an abundant number, since it is smaller than the sum of its proper divisors (1845322381984).

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

1211011121120 is a wasteful number, since it uses less digits than its factorization.

1211011121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44845 (or 44837 counting only the distinct ones).

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

Adding to 1211011121120 its reverse (211211101121), we get a palindrome (1422222222241).

The spelling of 1211011121120 in words is "one trillion, two hundred eleven billion, eleven million, one hundred twenty-one thousand, one hundred twenty".