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121206904 = 23713331503
BaseRepresentation
bin1110011100101…
…11100001111000
322110001221121121
413032113201320
5222012110104
620005515024
73001145620
oct716274170
9273057547
10121206904
11624665a5
1234712a74
131c15a380
1412151880
15a993254
hex7397878

121206904 has 64 divisors (see below), whose sum is σ = 281111040. Its totient is φ = 47710080.

The previous prime is 121206901. The next prime is 121206913. The reversal of 121206904 is 409602121.

It is a super-2 number, since 2×1212069042 = 29382227154530432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121206901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240717 + ... + 241219.

It is an arithmetic number, because the mean of its divisors is an integer number (4392360).

Almost surely, 2121206904 is an apocalyptic number.

121206904 is a gapful number since it is divisible by the number (14) 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 121206904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140555520).

121206904 is an abundant number, since it is smaller than the sum of its proper divisors (159904136).

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

121206904 is a wasteful number, since it uses less digits than its factorization.

121206904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 121206904 is about 11009.4007103021. The cubic root of 121206904 is about 494.8905025972.

It can be divided in two parts, 121 and 206904, that added together give a square (207025 = 4552).

The spelling of 121206904 in words is "one hundred twenty-one million, two hundred six thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 331 364 503 662 728 1006 1324 2012 2317 2648 3521 4024 4303 4634 6539 7042 8606 9268 13078 14084 17212 18536 26156 28168 30121 34424 45773 52312 60242 91546 120484 166493 183092 240968 332986 366184 665972 1165451 1331944 2164409 2330902 4328818 4661804 8657636 9323608 15150863 17315272 30301726 60603452 121206904