1122121201120 has 48 divisors (see below), whose sum is σ = 2651143300848. Its totient is φ = 448826137600.

The previous prime is 1122121201067. The next prime is 1122121201121. The reversal of 1122121201120 is 211021212211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1122121201094 and 1122121201103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122121201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3260307 + ... + 3588013.

It is an arithmetic number, because the mean of its divisors is an integer number (55232152101).

Almost surely, 2^{1122121201120} is an apocalyptic number.

1122121201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122121201120 is an abundant number, since it is smaller than the sum of its proper divisors (1529022099728).

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

1122121201120 is a wasteful number, since it uses less digits than its factorization.

1122121201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349123 (or 349115 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1122121201120 its reverse (211021212211), we get a palindrome (1333142413331).

The spelling of 1122121201120 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty".