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121892892 = 223117911689
BaseRepresentation
bin1110100001111…
…11000000011100
322111100210121120
413100333000130
5222201033032
620032330540
73010033602
oct720770034
9274323546
10121892892
1162894a30
12349a3a50
131c33a694
141228d872
15aa7b62c
hex743f01c

121892892 has 48 divisors (see below), whose sum is σ = 314227200. Its totient is φ = 36466560.

The previous prime is 121892863. The next prime is 121892909. The reversal of 121892892 is 298298121.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4584 + ... + 16272.

It is an arithmetic number, because the mean of its divisors is an integer number (6546400).

Almost surely, 2121892892 is an apocalyptic number.

121892892 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 121892892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157113600).

121892892 is an abundant number, since it is smaller than the sum of its proper divisors (192334308).

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

121892892 is a wasteful number, since it uses less digits than its factorization.

121892892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11786 (or 11784 counting only the distinct ones).

The product of its digits is 41472, while the sum is 42.

The square root of 121892892 is about 11040.5114011988. The cubic root of 121892892 is about 495.8223815547.

The spelling of 121892892 in words is "one hundred twenty-one million, eight hundred ninety-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 10428 11689 23378 35067 46756 70134 128579 140268 257158 385737 514316 771474 923431 1542948 1846862 2770293 3693724 5540586 10157741 11081172 20315482 30473223 40630964 60946446 121892892