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1200002002122 = 23721117193113093
BaseRepresentation
bin10001011101100101101…
…100010110110011001010
311020201102012110211101010
4101131211230112303022
5124130101003031442
62315135011304350
7152461111502100
oct21354554266312
94221365424333
101200002002122
11422a10934340
1217469a2ab0b6
138920cb390b1
144211a8c9c70
1521334e83b9c
hex11765b16cca

1200002002122 has 192 divisors, whose sum is σ = 3241538227584. Its totient is φ = 291831644160.

The previous prime is 1200002002061. The next prime is 1200002002141. The reversal of 1200002002122 is 2212002000021.

It is a junction number, because it is equal to n+sod(n) for n = 1200002002098 and 1200002002107.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10554208 + ... + 10667300.

It is an arithmetic number, because the mean of its divisors is an integer number (16883011602).

Almost surely, 21200002002122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200002002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620769113792).

1200002002122 is an abundant number, since it is smaller than the sum of its proper divisors (2041536225462).

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

1200002002122 is a wasteful number, since it uses less digits than its factorization.

1200002002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113333 (or 113326 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1200002002122 its reverse (2212002000021), we get a palindrome (3412004002143).

The spelling of 1200002002122 in words is "one trillion, two hundred billion, two million, two thousand, one hundred twenty-two".