Search a number
-
+
1122200122032 = 2432116130193847
BaseRepresentation
bin10000010101001000010…
…101101111001010110000
310222021121001111211000200
4100111020111233022300
5121341231212401112
62215310455115200
7144035110436253
oct20251025571260
93867531454020
101122200122032
113a2a16793290
121615a6672b00
1381a91227c62
143c459a5d09a
151e2ce95ecdc
hex1054856f2b0

1122200122032 has 240 divisors, whose sum is σ = 3484335678720. Its totient is φ = 334288166400.

The previous prime is 1122200121983. The next prime is 1122200122037. The reversal of 1122200122032 is 2302210022211.

It is a super-2 number, since 2×11222001220322 (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 = 1122200121996 and 1122200122014.

It is not an unprimeable number, because it can be changed into a prime (1122200122037) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 291705933 + ... + 291709779.

It is an arithmetic number, because the mean of its divisors is an integer number (14518065328).

Almost surely, 21122200122032 is an apocalyptic number.

1122200122032 is a gapful number since it is divisible by the number (12) 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 1122200122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742167839360).

1122200122032 is an abundant number, since it is smaller than the sum of its proper divisors (2362135556688).

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

1122200122032 is a wasteful number, since it uses less digits than its factorization.

1122200122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6952 (or 6943 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1122200122032 its reverse (2302210022211), we get a palindrome (3424410144243).

The spelling of 1122200122032 in words is "one trillion, one hundred twenty-two billion, two hundred million, one hundred twenty-two thousand, thirty-two".