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112121111232 = 263213210910567
BaseRepresentation
bin110100001101011110…
…0000110001011000000
3101201101220122120222100
41220122330012023000
53314111001024412
6123301400310400
711046315502134
oct1503274061300
9351356576870
10112121111232
11436064983a9
1219891172400
13a75aa99c00
1455d8ba73c4
152db342eedc
hex1a1af062c0

112121111232 has 252 divisors, whose sum is σ = 351223569840. Its totient is φ = 34179065856.

The previous prime is 112121111231. The next prime is 112121111233. The reversal of 112121111232 is 232111121211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112121111231) and next prime (112121111233).

It is a super-2 number, since 2×1121211112322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (112121111231) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10605213 + ... + 10615779.

Almost surely, 2112121111232 is an apocalyptic number.

112121111232 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 112121111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175611784920).

112121111232 is an abundant number, since it is smaller than the sum of its proper divisors (239102458608).

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

112121111232 is a wasteful number, since it uses less digits than its factorization.

112121111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10720 (or 10694 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 112121111232 its reverse (232111121211), we get a palindrome (344232232443).

The spelling of 112121111232 in words is "one hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, two hundred thirty-two".