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121118688 = 2532420551
BaseRepresentation
bin1110011100000…
…01111111100000
322102220110121100
413032001333200
5222001244223
620003554400
73000330465
oct716017740
9272813540
10121118688
1162406299
123468ba00
131c129182
141212b66c
15a977043
hex7381fe0

121118688 has 36 divisors (see below), whose sum is σ = 344432088. Its totient is φ = 40372800.

The previous prime is 121118677. The next prime is 121118707. The reversal of 121118688 is 886811121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 209988 + ... + 210563.

It is an arithmetic number, because the mean of its divisors is an integer number (9567558).

Almost surely, 2121118688 is an apocalyptic number.

121118688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121118688 is an abundant number, since it is smaller than the sum of its proper divisors (223313400).

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

121118688 is a wasteful number, since it uses less digits than its factorization.

121118688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420567 (or 420556 counting only the distinct ones).

The product of its digits is 6144, while the sum is 36.

The square root of 121118688 is about 11005.3935867828. The cubic root of 121118688 is about 494.7704108234.

The spelling of 121118688 in words is "one hundred twenty-one million, one hundred eighteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 420551 841102 1261653 1682204 2523306 3364408 3784959 5046612 6728816 7569918 10093224 13457632 15139836 20186448 30279672 40372896 60559344 121118688