1022012121120 has 192 divisors, whose sum is σ = 3332021857920. Its totient is φ = 263006650368.

The previous prime is 1022012121079. The next prime is 1022012121127. The reversal of 1022012121120 is 211212102201.

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 1022012121120.

It is not an unprimeable number, because it can be changed into a prime (1022012121127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29395587 + ... + 29430333.

It is an arithmetic number, because the mean of its divisors is an integer number (17354280510).

Almost surely, 2^{1022012121120} is an apocalyptic number.

1022012121120 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 1022012121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666010928960).

1022012121120 is an abundant number, since it is smaller than the sum of its proper divisors (2310009736800).

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

1022012121120 is a wasteful number, since it uses less digits than its factorization.

1022012121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36907 (or 36899 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1022012121120 its reverse (211212102201), we get a palindrome (1233224223321).

The spelling of 1022012121120 in words is "one trillion, twenty-two billion, twelve million, one hundred twenty-one thousand, one hundred twenty".