120122210001000 has 512 divisors, whose sum is σ = 418093296192000. Its totient is φ = 28535556096000.

The previous prime is 120122210000987. The next prime is 120122210001029. The reversal of 120122210001000 is 100012221021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1074565110 + ... + 1074676890.

It is an arithmetic number, because the mean of its divisors is an integer number (816588469125).

Almost surely, 2^{120122210001000} is an apocalyptic number.

120122210001000 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 120122210001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209046648096000).

120122210001000 is an abundant number, since it is smaller than the sum of its proper divisors (297971086191000).

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

120122210001000 is a wasteful number, since it uses less digits than its factorization.

120122210001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112950 (or 112936 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120122210001000 its reverse (100012221021), we get a palindrome (120222222222021).

The spelling of 120122210001000 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred ten million, one thousand".