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121742868 = 223132173347
BaseRepresentation
bin1110100000110…
…10011000010100
322111002011211010
413100122120110
5222131232433
620025212220
73005540322
oct720323024
9274064733
10121742868
11627a2245
1234931070
131c2b7300
1412250d12
15aa4be63
hex741a614

121742868 has 72 divisors (see below), whose sum is σ = 310268448. Its totient is φ = 37135488.

The previous prime is 121742867. The next prime is 121742897. The reversal of 121742868 is 868247121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121742867) 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, 350671 + ... + 351017.

It is an arithmetic number, because the mean of its divisors is an integer number (4309284).

Almost surely, 2121742868 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 121742868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155134224).

121742868 is an abundant number, since it is smaller than the sum of its proper divisors (188525580).

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

121742868 is a wasteful number, since it uses less digits than its factorization.

121742868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 538 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 121742868 is about 11033.7150588548. The cubic root of 121742868 is about 495.6188810496.

Adding to 121742868 its reverse (868247121), we get a palindrome (989989989).

The spelling of 121742868 in words is "one hundred twenty-one million, seven hundred forty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 173 338 346 347 507 519 676 692 694 1014 1038 1041 1388 2028 2076 2082 2249 4164 4498 4511 6747 8996 9022 13494 13533 18044 26988 27066 29237 54132 58474 58643 60031 87711 116948 117286 120062 175422 175929 180093 234572 240124 350844 351858 360186 703716 720372 780403 1560806 2341209 3121612 4682418 9364836 10145239 20290478 30435717 40580956 60871434 121742868