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121352124 = 223291073259
BaseRepresentation
bin1110011101110…
…10111110111100
322110100022211010
413032322332330
5222031231444
620012555220
73002322165
oct716727674
9273308733
10121352124
1162555713
1234782b10
131c1ab4ba
141218c76c
15a9c12b9
hex73bafbc

121352124 has 48 divisors (see below), whose sum is σ = 295747200. Its totient is φ = 38678976.

The previous prime is 121352111. The next prime is 121352129. The reversal of 121352124 is 421253121.

It is a super-2 number, since 2×1213521242 = 29452675998622752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121352124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121352129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35607 + ... + 38865.

It is an arithmetic number, because the mean of its divisors is an integer number (6161400).

Almost surely, 2121352124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121352124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147873600).

121352124 is an abundant number, since it is smaller than the sum of its proper divisors (174395076).

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

121352124 is a wasteful number, since it uses less digits than its factorization.

121352124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 3400 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 121352124 is about 11015.9940087130. The cubic root of 121352124 is about 495.0880692193.

The spelling of 121352124 in words is "one hundred twenty-one million, three hundred fifty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 107 116 174 214 321 348 428 642 1284 3103 3259 6206 6518 9309 9777 12412 13036 18618 19554 37236 39108 94511 189022 283533 348713 378044 567066 697426 1046139 1134132 1394852 2092278 4184556 10112677 20225354 30338031 40450708 60676062 121352124