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121449605472 = 25331310812821
BaseRepresentation
bin111000100011011110…
…1011110100101100000
3102121111000212012101000
41301012331132211200
53442212044333342
6131443154312000
711526430420266
oct1610675364540
9377430765330
10121449605472
1147563155178
121b655288600
13b5b66137a0
145c41a8c436
15325c39844c
hex1c46f5e960

121449605472 has 96 divisors (see below), whose sum is σ = 381476360160. Its totient is φ = 37369105920.

The previous prime is 121449605419. The next prime is 121449605477. The reversal of 121449605472 is 274506944121.

121449605472 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 49 + 60 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121449605477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5395179 + ... + 5417642.

It is an arithmetic number, because the mean of its divisors is an integer number (3973712085).

Almost surely, 2121449605472 is an apocalyptic number.

121449605472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121449605472 is an abundant number, since it is smaller than the sum of its proper divisors (260026754688).

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

121449605472 is a wasteful number, since it uses less digits than its factorization.

121449605472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812853 (or 10812839 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 121449605472 in words is "one hundred twenty-one billion, four hundred forty-nine million, six hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 10812821 21625642 32438463 43251284 64876926 86502568 97315389 129753852 140566673 173005136 194630778 259507704 281133346 291946167 346010272 389261556 421700019 519015408 562266692 583892334 778523112 843400038 1038030816 1124533384 1167784668 1265100057 1557046224 1686800076 2249066768 2335569336 2530200114 3114092448 3373600152 3795300171 4498133536 4671138672 5060400228 6747200304 7590600342 9342277344 10120800456 13494400608 15181200684 20241600912 30362401368 40483201824 60724802736 121449605472