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121553120 = 2551358439
BaseRepresentation
bin1110011111011…
…00000011100000
322110201112112102
413033230003200
5222104144440
620021145532
73004120163
oct717540340
9273645472
10121553120
1162682727
123485b2a8
131c24bb30
1412201ada
15aa10b15
hex73ec0e0

121553120 has 48 divisors (see below), whose sum is σ = 309264480. Its totient is φ = 44880384.

The previous prime is 121553041. The next prime is 121553149. The reversal of 121553120 is 21355121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121553092 and 121553101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27140 + ... + 31299.

It is an arithmetic number, because the mean of its divisors is an integer number (6443010).

Almost surely, 2121553120 is an apocalyptic number.

121553120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121553120 is an abundant number, since it is smaller than the sum of its proper divisors (187711360).

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

121553120 is a wasteful number, since it uses less digits than its factorization.

121553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58467 (or 58459 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 121553120 is about 11025.1131513468. The cubic root of 121553120 is about 495.3612572190.

The spelling of 121553120 in words is "one hundred twenty-one million, five hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 58439 116878 233756 292195 467512 584390 759707 935024 1168780 1519414 1870048 2337560 3038828 3798535 4675120 6077656 7597070 9350240 12155312 15194140 24310624 30388280 60776560 121553120