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120122222110000 = 24541129359104891
BaseRepresentation
bin11011010100000000100010…
…011000001110010100110000
3120202022120110012020112022021
4123110000202120032110300
5111221040302330010000
61103251215332521224
734205354434033315
oct3324004230162460
9522276405215267
10120122222110000
113530260388a480
12115805a9180214
135204627ab7316
142193d3756ad0c
15dd49c474411a
hex6d402260e530

120122222110000 has 400 divisors, whose sum is σ = 329124411475200. Its totient is φ = 42056694400000.

The previous prime is 120122222109973. The next prime is 120122222110001. The reversal of 120122222110000 is 11222221021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is not an unprimeable number, because it can be changed into a prime (120122222110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1145157555 + ... + 1145262445.

It is an arithmetic number, because the mean of its divisors is an integer number (822811028688).

Almost surely, 2120122222110000 is an apocalyptic number.

120122222110000 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 120122222110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164562205737600).

120122222110000 is an abundant number, since it is smaller than the sum of its proper divisors (209002189365200).

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

120122222110000 is a wasteful number, since it uses less digits than its factorization.

120122222110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105318 (or 105297 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120122222110000 its reverse (11222221021), we get a palindrome (120133444331021).

The spelling of 120122222110000 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred ten thousand".