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222202001121120 = 25325379974183007
BaseRepresentation
bin110010100001011101101111…
…010110000101111101100000
31002010202022012111200120210200
4302201131233112011331200
5213111024144241333440
62104330105021425200
764542364505133036
oct6241355726057540
91063668174616720
10222202001121120
1164889380925279
1220b082a070b200
1396ca7358a3887
143cc28c44c0556
151aa4eb5dabc30
hexca176f585f60

222202001121120 has 288 divisors, whose sum is σ = 779539246956288. Its totient is φ = 57594571444224.

The previous prime is 222202001121119. The next prime is 222202001121143. The reversal of 222202001121120 is 21121100202222.

It is a happy number.

222202001121120 is a `hidden beast` number, since 2 + 2 + 220 + 200 + 1 + 121 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 222202001121093 and 222202001121102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51028657 + ... + 55211663.

It is an arithmetic number, because the mean of its divisors is an integer number (2706733496376).

Almost surely, 2222202001121120 is an apocalyptic number.

222202001121120 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 222202001121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389769623478144).

222202001121120 is an abundant number, since it is smaller than the sum of its proper divisors (557337245835168).

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

222202001121120 is a wasteful number, since it uses less digits than its factorization.

222202001121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184062 (or 4184051 counting only the distinct ones).

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

Adding to 222202001121120 its reverse (21121100202222), we get a palindrome (243323101323342).

The spelling of 222202001121120 in words is "two hundred twenty-two trillion, two hundred two billion, one million, one hundred twenty-one thousand, one hundred twenty".