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121552272 = 24331959251
BaseRepresentation
bin1110011111010…
…11110110010000
322110201111101000
413033223312100
5222104133042
620021142000
73004114542
oct717536620
9273644330
10121552272
1162682026
123485a900
131c24b62a
1412201692
15aa1074c
hex73ebd90

121552272 has 160 divisors (see below), whose sum is σ = 374976000. Its totient is φ = 37584000.

The previous prime is 121552259. The next prime is 121552279. The reversal of 121552272 is 272255121.

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

It is not an unprimeable number, because it can be changed into a prime (121552279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484147 + ... + 484397.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2121552272 is an apocalyptic number.

121552272 is a gapful number since it is divisible by the number (12) 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 121552272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

121552272 is an abundant number, since it is smaller than the sum of its proper divisors (253423728).

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

121552272 is a wasteful number, since it uses less digits than its factorization.

121552272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 121552272 is about 11025.0746936245. The cubic root of 121552272 is about 495.3601052746.

The spelling of 121552272 in words is "one hundred twenty-one million, five hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 59 72 76 108 114 118 144 152 171 177 216 228 236 251 304 342 354 432 456 472 502 513 531 684 708 753 912 944 1004 1026 1062 1121 1368 1416 1506 1593 2008 2052 2124 2242 2259 2736 2832 3012 3186 3363 4016 4104 4248 4484 4518 4769 6024 6372 6726 6777 8208 8496 8968 9036 9538 10089 12048 12744 13452 13554 14307 14809 17936 18072 19076 20178 25488 26904 27108 28614 29618 30267 36144 38152 40356 42921 44427 53808 54216 57228 59236 60534 76304 80712 85842 88854 108432 114456 118472 121068 128763 133281 161424 171684 177708 228912 236944 242136 257526 266562 281371 343368 355416 399843 484272 515052 533124 562742 686736 710832 799686 844113 1030104 1066248 1125484 1599372 1688226 2060208 2132496 2250968 2532339 3198744 3376452 4501936 5064678 6397488 6752904 7597017 10129356 13505808 15194034 20258712 30388068 40517424 60776136 121552272