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121279242 = 23719379401
BaseRepresentation
bin1110011101010…
…01001100001010
322110012121211210
413032221030022
5222021413432
620011233550
73001566540
oct716511412
9273177753
10121279242
1162505987
12347488b6
131c184286
141216dd90
15a9a98cc
hex73a930a

121279242 has 64 divisors (see below), whose sum is σ = 293299200. Its totient is φ = 32659200.

The previous prime is 121279237. The next prime is 121279243. The reversal of 121279242 is 242972121.

It is not an unprimeable number, because it can be changed into a prime (121279243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302242 + ... + 302642.

It is an arithmetic number, because the mean of its divisors is an integer number (4582800).

Almost surely, 2121279242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121279242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146649600).

121279242 is an abundant number, since it is smaller than the sum of its proper divisors (172019958).

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

121279242 is a wasteful number, since it uses less digits than its factorization.

121279242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811.

The product of its digits is 4032, while the sum is 30.

The square root of 121279242 is about 11012.6855035454. The cubic root of 121279242 is about 494.9889355756.

The spelling of 121279242 in words is "one hundred twenty-one million, two hundred seventy-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 379 399 401 758 798 802 1137 1203 2274 2406 2653 2807 5306 5614 7201 7619 7959 8421 14402 15238 15918 16842 21603 22857 43206 45714 50407 53333 100814 106666 151221 151979 159999 302442 303958 319998 455937 911874 1063853 2127706 2887601 3191559 5775202 6383118 8662803 17325606 20213207 40426414 60639621 121279242