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20222102112120 = 2332517137202911887
BaseRepresentation
bin1001001100100010100110…
…01101101000011101111000
32122121012210001202211010100
410212101103031220131320
510122304331120041440
6111001523325115400
74154666353564356
oct446212315503570
978535701684110
1020222102112120
1164971664a91a7
1223272190b8b60
13b38c22657b5c
144dca7d8a07d6
152510538a9230
hex126453368778

20222102112120 has 384 divisors, whose sum is σ = 70136208979200. Its totient is φ = 5035397971968.

The previous prime is 20222102112119. The next prime is 20222102112131. The reversal of 20222102112120 is 2121120122202.

It is a happy number.

20222102112120 is a `hidden beast` number, since 20 + 2 + 221 + 0 + 211 + 212 + 0 = 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 = 20222102112093 and 20222102112102.

It is a congruent number.

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, 1701188817 + ... + 1701200703.

It is an arithmetic number, because the mean of its divisors is an integer number (182646377550).

Almost surely, 220222102112120 is an apocalyptic number.

20222102112120 is a gapful number since it is divisible by the number (20) 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 20222102112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35068104489600).

20222102112120 is an abundant number, since it is smaller than the sum of its proper divisors (49914106867080).

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

20222102112120 is a wasteful number, since it uses less digits than its factorization.

20222102112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14087 (or 14080 counting only the distinct ones).

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

Adding to 20222102112120 its reverse (2121120122202), we get a palindrome (22343222234322).

The spelling of 20222102112120 in words is "twenty trillion, two hundred twenty-two billion, one hundred two million, one hundred twelve thousand, one hundred twenty".