Search a number
-
+
1122012222120 = 233257372758727
BaseRepresentation
bin10000010100111101001…
…000111101001010101000
310222021002221221111210200
4100110331020331022220
5121340340112101440
62215240103512200
7144030336346146
oct20247510751250
93867087844720
101122012222120
113a292a7152a9
12161553758660
1381a6131938a
143c43cb0a596
151e2bd1e5c30
hex1053d23d2a8

1122012222120 has 192 divisors, whose sum is σ = 3701639934720. Its totient is φ = 294693645312.

The previous prime is 1122012222101. The next prime is 1122012222179. The reversal of 1122012222120 is 212222102211.

It is a happy number.

1122012222120 is a `hidden beast` number, since 11 + 220 + 1 + 222 + 212 + 0 = 666.

It is a super-2 number, since 2×11220122221202 (a number of 25 digits) contains 22 as substring.

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 = 1122012222093 and 1122012222102.

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, 19076197 + ... + 19134923.

It is an arithmetic number, because the mean of its divisors is an integer number (19279374660).

Almost surely, 21122012222120 is an apocalyptic number.

1122012222120 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 1122012222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850819967360).

1122012222120 is an abundant number, since it is smaller than the sum of its proper divisors (2579627712600).

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

1122012222120 is a wasteful number, since it uses less digits than its factorization.

1122012222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59544 (or 59537 counting only the distinct ones).

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

Adding to 1122012222120 its reverse (212222102211), we get a palindrome (1334234324331).

The spelling of 1122012222120 in words is "one trillion, one hundred twenty-two billion, twelve million, two hundred twenty-two thousand, one hundred twenty".