120100222112220 has 288 divisors, whose sum is σ = 419537882889216. Its totient is φ = 27241667712000.

The previous prime is 120100222112203. The next prime is 120100222112239. The reversal of 120100222112220 is 22211222001021.

It is a happy number.

120100222112220 is a `hidden beast` number, since 12 + 0 + 100 + 222 + 112 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120100222112193 and 120100222112202.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 125987575 + ... + 126937265.

It is an arithmetic number, because the mean of its divisors is an integer number (1456728760032).

Almost surely, 2^{120100222112220} is an apocalyptic number.

120100222112220 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 120100222112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209768941444608).

120100222112220 is an abundant number, since it is smaller than the sum of its proper divisors (299437660776996).

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

120100222112220 is a wasteful number, since it uses less digits than its factorization.

120100222112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950481 (or 950476 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120100222112220 its reverse (22211222001021), we get a palindrome (142311444113241).

The spelling of 120100222112220 in words is "one hundred twenty trillion, one hundred billion, two hundred twenty-two million, one hundred twelve thousand, two hundred twenty".