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121487292 = 223219473779
BaseRepresentation
bin1110011110110…
…11111110111100
322110121012020100
413033123332330
5222100043132
620015521100
73003424233
oct717337674
9273535210
10121487292
1162638223
1234829190
131c227b94
14121c5b1a
15a9eb37c
hex73dbfbc

121487292 has 72 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 37538208.

The previous prime is 121487291. The next prime is 121487297. The reversal of 121487292 is 292784121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121487291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30259 + ... + 34037.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2121487292 is an apocalyptic number.

121487292 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 121487292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

121487292 is an abundant number, since it is smaller than the sum of its proper divisors (208733508).

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

121487292 is a wasteful number, since it uses less digits than its factorization.

121487292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3850 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 121487292 is about 11022.1273808644. The cubic root of 121487292 is about 495.2718188756.

The spelling of 121487292 in words is "one hundred twenty-one million, four hundred eighty-seven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 47 57 76 94 114 141 171 188 228 282 342 423 564 684 846 893 1692 1786 2679 3572 3779 5358 7558 8037 10716 11337 15116 16074 22674 32148 34011 45348 68022 71801 136044 143602 177613 215403 287204 355226 430806 532839 646209 710452 861612 1065678 1292418 1598517 2131356 2584836 3197034 3374647 6394068 6749294 10123941 13498588 20247882 30371823 40495764 60743646 121487292