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121113216 = 2732723653
BaseRepresentation
bin1110011100000…
…00101010000000
322102220012002200
413032000222000
5222001110331
620003513200
73000305520
oct716005200
9272805080
10121113216
1162402174
1234688800
131c126833
1412129680
15a9755e6
hex7380a80

121113216 has 192 divisors, whose sum is σ = 416257920. Its totient is φ = 33048576.

The previous prime is 121113211. The next prime is 121113217. The reversal of 121113216 is 612311121.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1211132162 = 29336822179725312, which 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 (121113211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185146 + ... + 185798.

It is an arithmetic number, because the mean of its divisors is an integer number (2168010).

Almost surely, 2121113216 is an apocalyptic number.

121113216 is a gapful number since it is divisible by the number (16) 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 121113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208128960).

121113216 is an abundant number, since it is smaller than the sum of its proper divisors (295144704).

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

121113216 is a wasteful number, since it uses less digits than its factorization.

121113216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 688 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 121113216 is about 11005.1449785998. The cubic root of 121113216 is about 494.7629596626.

Adding to 121113216 its reverse (612311121), we get a palindrome (733424337).

The spelling of 121113216 in words is "one hundred twenty-one million, one hundred thirteen thousand, two hundred sixteen".