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121404312 = 23333791483
BaseRepresentation
bin1110011110001…
…11101110011000
322110102222102000
413033013232120
5222034414222
620014041000
73002630301
oct717075630
9273388360
10121404312
1162590947
12347a9160
131c1c9193
14121a37a8
15a9d19ac
hex73c7b98

121404312 has 64 divisors (see below), whose sum is σ = 338352000. Its totient is φ = 40334112.

The previous prime is 121404301. The next prime is 121404313. The reversal of 121404312 is 213404121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121404313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81123 + ... + 82605.

It is an arithmetic number, because the mean of its divisors is an integer number (5286750).

Almost surely, 2121404312 is an apocalyptic number.

121404312 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 121404312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169176000).

121404312 is an abundant number, since it is smaller than the sum of its proper divisors (216947688).

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

121404312 is a wasteful number, since it uses less digits than its factorization.

121404312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1867 counting only the distinct ones).

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

The square root of 121404312 is about 11018.3624917680. The cubic root of 121404312 is about 495.1590306285.

Adding to 121404312 its reverse (213404121), we get a palindrome (334808433).

The spelling of 121404312 in words is "one hundred twenty-one million, four hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 379 758 1137 1483 1516 2274 2966 3032 3411 4449 4548 5932 6822 8898 9096 10233 11864 13347 13644 17796 20466 26694 27288 35592 40041 40932 53388 80082 81864 106776 160164 320328 562057 1124114 1686171 2248228 3372342 4496456 5058513 6744684 10117026 13489368 15175539 20234052 30351078 40468104 60702156 121404312