Search a number
-
+
120222221120 = 26517711072909
BaseRepresentation
bin110111111110111001…
…1011000001101000000
3102111022111022121120022
41233331303120031000
53432203342033440
6131121311233012
711454135006251
oct1577563301500
9374274277508
10120222221120
1146a93345141
121b372218768
13b44c251a61
145b66a70b28
1531d974dcb5
hex1bfdcd8340

120222221120 has 224 divisors, whose sum is σ = 310367842560. Its totient is φ = 44190433280.

The previous prime is 120222221111. The next prime is 120222221129. The reversal of 120222221120 is 21122222021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120222221111) and next prime (120222221129).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120222221129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41326226 + ... + 41329134.

Almost surely, 2120222221120 is an apocalyptic number.

120222221120 is a gapful number since it is divisible by the number (10) 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 120222221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155183921280).

120222221120 is an abundant number, since it is smaller than the sum of its proper divisors (190145621440).

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

120222221120 is a wasteful number, since it uses less digits than its factorization.

120222221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 120222221120 its reverse (21122222021), we get a palindrome (141344443141).

Subtracting from 120222221120 its reverse (21122222021), we obtain a palindrome (99099999099).

The spelling of 120222221120 in words is "one hundred twenty billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".