121122111022000 has 960 divisors, whose sum is σ = 339672110843520. Its totient is φ = 41684966400000.

The previous prime is 121122111021911. The next prime is 121122111022037. The reversal of 121122111022000 is 220111221121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75843525202 + ... + 75843526798.

It is an arithmetic number, because the mean of its divisors is an integer number (353825115462).

Almost surely, 2^{121122111022000} is an apocalyptic number.

121122111022000 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 121122111022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169836055421760).

121122111022000 is an abundant number, since it is smaller than the sum of its proper divisors (218549999821520).

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

121122111022000 is a wasteful number, since it uses less digits than its factorization.

121122111022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1852 counting only the distinct ones).

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

Adding to 121122111022000 its reverse (220111221121), we get a palindrome (121342222243121).

It can be divided in two parts, 1211221 and 11022000, that added together give a palindrome (12233221).

The spelling of 121122111022000 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred eleven million, twenty-two thousand".