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121098960 = 24325168193
BaseRepresentation
bin1110011011111…
…01001011010000
322102212110112200
413031331023100
5222000131320
620003323200
73000216123
oct715751320
9272773480
10121098960
11623a2494
1234680500
131c1201b8
14121243ba
15a971290
hex737d2d0

121098960 has 60 divisors (see below), whose sum is σ = 406693092. Its totient is φ = 32292864.

The previous prime is 121098959. The next prime is 121098977. The reversal of 121098960 is 69890121.

It can be written as a sum of positive squares in 2 ways, for example, as 33039504 + 88059456 = 5748^2 + 9384^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1210989602 = 29329916226163200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83377 + ... + 84816.

Almost surely, 2121098960 is an apocalyptic number.

121098960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121098960 is an abundant number, since it is smaller than the sum of its proper divisors (285594132).

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

121098960 is a wasteful number, since it uses less digits than its factorization.

121098960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168212 (or 168203 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 121098960 is about 11004.4972624832. The cubic root of 121098960 is about 494.7435463738.

The spelling of 121098960 in words is "one hundred twenty-one million, ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 168193 336386 504579 672772 840965 1009158 1345544 1513737 1681930 2018316 2522895 2691088 3027474 3363860 4036632 5045790 6054948 6727720 7568685 8073264 10091580 12109896 13455440 15137370 20183160 24219792 30274740 40366320 60549480 121098960