1022111121120 has 192 divisors, whose sum is σ = 3233913984000. Its totient is φ = 271358208000.

The previous prime is 1022111121067. The next prime is 1022111121131. The reversal of 1022111121120 is 211211112201.

It is a happy number.

It is a super-2 number, since 2×1022111121120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1022111121120.

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, 103228170 + ... + 103238070.

It is an arithmetic number, because the mean of its divisors is an integer number (16843302000).

Almost surely, 2^{1022111121120} is an apocalyptic number.

1022111121120 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 1022111121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616956992000).

1022111121120 is an abundant number, since it is smaller than the sum of its proper divisors (2211802862880).

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

1022111121120 is a wasteful number, since it uses less digits than its factorization.

1022111121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10849 (or 10841 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1022111121120 its reverse (211211112201), we get a palindrome (1233322233321).

The spelling of 1022111121120 in words is "one trillion, twenty-two billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty".