Search a number
-
+
222212012201120 = 255177110177113063
BaseRepresentation
bin110010100001100111000100…
…000011010101010010100000
31002010210021001012022010211102
4302201213010003111102200
5213111210200110413440
62104334442241533532
764543200545663144
oct6241470403252240
91063707035263742
10222212012201120
1164892648917907
1220b0a2153442a8
1396cb66c970356
143cc3193cc9224
151aa539ec07b15
hexca19c40d54a0

222212012201120 has 192 divisors, whose sum is σ = 563746156356096. Its totient is φ = 82469195612160.

The previous prime is 222212012201111. The next prime is 222212012201189. The reversal of 222212012201120 is 21102210212222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222212012201092 and 222212012201101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1965325709 + ... + 1965438771.

It is an arithmetic number, because the mean of its divisors is an integer number (2936177897688).

Almost surely, 2222212012201120 is an apocalyptic number.

222212012201120 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 222212012201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281873078178048).

222212012201120 is an abundant number, since it is smaller than the sum of its proper divisors (341534144154976).

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

222212012201120 is a wasteful number, since it uses less digits than its factorization.

222212012201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123343 (or 123335 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 222212012201120 its reverse (21102210212222), we get a palindrome (243314222413342).

The spelling of 222212012201120 in words is "two hundred twenty-two trillion, two hundred twelve billion, twelve million, two hundred one thousand, one hundred twenty".