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121663080 = 233357211219
BaseRepresentation
bin1110100000001…
…10111001101000
322110221010101000
413100012321220
5222121204310
620023355000
73005055600
oct720067150
9273833330
10121663080
1162748300
12348b2a60
131c289bb6
141222dc00
15aa334c0
hex7406e68

121663080 has 576 divisors, whose sum is σ = 545832000. Its totient is φ = 23950080.

The previous prime is 121663049. The next prime is 121663093. The reversal of 121663080 is 80366121.

121663080 is a `hidden beast` number, since 1 + 21 + 6 + 630 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6403311 + ... + 6403329.

It is an arithmetic number, because the mean of its divisors is an integer number (947625).

Almost surely, 2121663080 is an apocalyptic number.

121663080 is a gapful number since it is divisible by the number (10) 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 121663080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272916000).

121663080 is an abundant number, since it is smaller than the sum of its proper divisors (424168920).

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

121663080 is a wasteful number, since it uses less digits than its factorization.

121663080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 121663080 is about 11030.0988209535. The cubic root of 121663080 is about 495.5105842708.

The spelling of 121663080 in words is "one hundred twenty-one million, six hundred sixty-three thousand, eighty".