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120022112220012 = 22351729416179901
BaseRepresentation
bin11011010010100011010011…
…010111010011001101101100
3120201222000001100211012100000
4123102203103113103031230
5111212420241212020022
61103133221442304300
734165211554021662
oct3322432327231554
9521860040735300
10120022112220012
1135274101418402
121156510a658090
1351c80625b0622
14218d15baa2c32
15dd20b5a4e6ac
hex6d28d35d336c

120022112220012 has 576 divisors, whose sum is σ = 353633884007040. Its totient is φ = 35407798272000.

The previous prime is 120022112219981. The next prime is 120022112220013. The reversal of 120022112220012 is 210022211220021.

It is a happy number.

120022112220012 is a `hidden beast` number, since 1 + 200 + 221 + 12 + 220 + 0 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (120022112220013) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12122216262 + ... + 12122226162.

It is an arithmetic number, because the mean of its divisors is an integer number (613947715290).

Almost surely, 2120022112220012 is an apocalyptic number.

120022112220012 is a gapful number since it is divisible by the number (12) 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 120022112220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176816942003520).

120022112220012 is an abundant number, since it is smaller than the sum of its proper divisors (233611771787028).

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

120022112220012 is a wasteful number, since it uses less digits than its factorization.

120022112220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10624 (or 10610 counting only the distinct ones).

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

Adding to 120022112220012 its reverse (210022211220021), we get a palindrome (330044323440033).

Subtracting 120022112220012 from its reverse (210022211220021), we obtain a palindrome (90000099000009).

The spelling of 120022112220012 in words is "one hundred twenty trillion, twenty-two billion, one hundred twelve million, two hundred twenty thousand, twelve".