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121624116 = 22310135343
BaseRepresentation
bin1110011111111…
…01011000110100
322110212010220220
413033331120310
5222113432431
620022454340
73004534155
oct717753064
9273763826
10121624116
1162720aa9
12348943b0
131c275243
141221d92c
15aa26b96
hex73fd634

121624116 has 12 divisors (see below), whose sum is σ = 283789632. Its totient is φ = 40541368.

The previous prime is 121624091. The next prime is 121624117. The reversal of 121624116 is 611426121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121624117) 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 3 ways as a sum of consecutive naturals, for example, 5067660 + ... + 5067683.

It is an arithmetic number, because the mean of its divisors is an integer number (23649136).

Almost surely, 2121624116 is an apocalyptic number.

It is an amenable number.

121624116 is an abundant number, since it is smaller than the sum of its proper divisors (162165516).

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

121624116 is a wasteful number, since it uses less digits than its factorization.

121624116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10135350 (or 10135348 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 121624116 is about 11028.3324215404. The cubic root of 121624116 is about 495.4576809692.

The spelling of 121624116 in words is "one hundred twenty-one million, six hundred twenty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 10135343 20270686 30406029 40541372 60812058 121624116