Search a number
-
+
1120120221220 = 22571113101553961
BaseRepresentation
bin10000010011001100010…
…111100010111000100100
310222002020002210220111021
4100103030113202320210
5121323001234034340
62214324235420524
7143632423533430
oct20231427427044
93862202726437
101120120221220
113a2049732aa0
12161105bb4744
138181c356710
143c2dd7259c0
151e20c067e4a
hex104cc5e2e24

1120120221220 has 192 divisors, whose sum is σ = 3189544791552. Its totient is φ = 319080960000.

The previous prime is 1120120221161. The next prime is 1120120221239. The reversal of 1120120221220 is 221220210211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1120120221194 and 1120120221203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1745040 + ... + 2299000.

It is an arithmetic number, because the mean of its divisors is an integer number (16612212456).

Almost surely, 21120120221220 is an apocalyptic number.

1120120221220 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 1120120221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594772395776).

1120120221220 is an abundant number, since it is smaller than the sum of its proper divisors (2069424570332).

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

1120120221220 is a wasteful number, since it uses less digits than its factorization.

1120120221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554102 (or 554100 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1120120221220 its reverse (221220210211), we get a palindrome (1341340431431).

The spelling of 1120120221220 in words is "one trillion, one hundred twenty billion, one hundred twenty million, two hundred twenty-one thousand, two hundred twenty".