Search a number
-
+
112012223133120 = 2635269603771849
BaseRepresentation
bin11001011101111111100000…
…110001010011010111000000
3112200121021010102101010112020
4121131333200301103113000
5104140202013110224440
61034121412133001440
732410421211114342
oct3135774061232700
9480537112333466
10112012223133120
1132766131895892
1210690876a83280
134a66926c93b7b
141d935c5cd3292
15ce3a658393d0
hex65dfe0c535c0

112012223133120 has 224 divisors, whose sum is σ = 357024983688000. Its totient is φ = 29753542017024.

The previous prime is 112012223133073. The next prime is 112012223133121. The reversal of 112012223133120 is 21331322210211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112012223133121) 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, 1558958956 + ... + 1559030804.

Almost surely, 2112012223133120 is an apocalyptic number.

112012223133120 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 112012223133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178512491844000).

112012223133120 is an abundant number, since it is smaller than the sum of its proper divisors (245012760554880).

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

112012223133120 is a wasteful number, since it uses less digits than its factorization.

112012223133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78175 (or 78165 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 112012223133120 its reverse (21331322210211), we get a palindrome (133343545343331).

The spelling of 112012223133120 in words is "one hundred twelve trillion, twelve billion, two hundred twenty-three million, one hundred thirty-three thousand, one hundred twenty".