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120001222200222 = 232112983909127697
BaseRepresentation
bin11011010010001111110110…
…001110001100101110011110
3120201220000010111120020110100
4123102033312032030232132
5111212100000340401342
61103115444520521530
734163542103544126
oct3322176616145636
9521800114506410
10120001222200222
1135266261563340
121156105a6202a6
1351c60b36c4b7c
14218c1394dbc86
15dd1791ac8e4c
hex6d23f638cb9e

120001222200222 has 192 divisors, whose sum is σ = 296998483541760. Its totient is φ = 34681994726400.

The previous prime is 120001222200191. The next prime is 120001222200229. The reversal of 120001222200222 is 222002222100021.

120001222200222 is a `hidden beast` number, since 1 + 20 + 0 + 0 + 1 + 222 + 200 + 222 = 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 = 120001222200195 and 120001222200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120001222200229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4332629478 + ... + 4332657174.

It is an arithmetic number, because the mean of its divisors is an integer number (1546867101780).

Almost surely, 2120001222200222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120001222200222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148499241770880).

120001222200222 is an abundant number, since it is smaller than the sum of its proper divisors (176997261341538).

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

120001222200222 is a wasteful number, since it uses less digits than its factorization.

120001222200222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36919 (or 36916 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120001222200222 its reverse (222002222100021), we get a palindrome (342003444300243).

The spelling of 120001222200222 in words is "one hundred twenty trillion, one billion, two hundred twenty-two million, two hundred thousand, two hundred twenty-two".