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121133376 = 26327132311
BaseRepresentation
bin1110011100001…
…01100101000000
322102221012202100
413032011211000
5222002232001
620004150400
73000421350
oct716054500
9272835670
10121133376
1162416331
1234698400
131c132a70
1412132b60
15a97b586
hex7385940

121133376 has 168 divisors, whose sum is σ = 427516544. Its totient is φ = 31933440.

The previous prime is 121133371. The next prime is 121133423. The reversal of 121133376 is 673331121.

It is a tau number, because it is divible by the number of its divisors (168).

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 (121133371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51261 + ... + 53571.

Almost surely, 2121133376 is an apocalyptic number.

121133376 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 121133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213758272).

121133376 is an abundant number, since it is smaller than the sum of its proper divisors (306383168).

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

121133376 is a wasteful number, since it uses less digits than its factorization.

121133376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2336 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 121133376 is about 11006.0608757175. The cubic root of 121133376 is about 494.7904101980.

Adding to 121133376 its reverse (673331121), we get a palindrome (794464497).

The spelling of 121133376 in words is "one hundred twenty-one million, one hundred thirty-three thousand, three hundred seventy-six".