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121161078724 = 2272234472
BaseRepresentation
bin111000011010111000…
…0110101011111000100
3102120201220221112002011
41300311300311133010
53441114214004344
6131354410224004
711516325114400
oct1606560653704
9376656845064
10121161078724
11474252a7814
121b594725004
13b56b901cba
145c15624100
153241da3d34
hex1c35c357c4

121161078724 has 135 divisors (see below), whose sum is σ = 263463760623. Its totient is φ = 48611739792.

The previous prime is 121161078697. The next prime is 121161078733. The reversal of 121161078724 is 427870161121.

It is a happy number.

The square root of 121161078724 is 348082.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 2577895269 + ... + 2577895315.

Almost surely, 2121161078724 is an apocalyptic number.

121161078724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

121161078724 is the 348082-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121161078724

121161078724 is an abundant number, since it is smaller than the sum of its proper divisors (142302681899).

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

121161078724 is an frugal number, since it uses more digits than its factorization.

121161078724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 40.

The spelling of 121161078724 in words is "one hundred twenty-one billion, one hundred sixty-one million, seventy-eight thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 47 49 92 94 98 161 188 196 322 329 529 644 658 1058 1081 1127 1316 2116 2162 2209 2254 2303 3703 4324 4418 4508 4606 7406 7567 8836 9212 12167 14812 15134 15463 24334 24863 25921 30268 30926 48668 49726 50807 51842 52969 61852 85169 99452 101614 103684 105938 108241 170338 174041 203228 211876 216482 279841 340676 348082 355649 432964 559682 571849 596183 696164 711298 1119364 1143698 1168561 1192366 1218287 1422596 1958887 2287396 2337122 2384732 2436574 2489543 3917774 4002943 4674244 4873148 4979086 7835548 8005886 8179927 9958172 13152527 13712209 16011772 16359854 26305054 26876903 27424418 28020601 32719708 52610108 53753806 54848836 56041202 57259489 92067689 107507612 112082404 114518978 184135378 188138321 229037956 368270756 376276642 618168769 644473823 752553284 1236337538 1288947646 1316968247 2472675076 2577895292 2633936494 4327181383 5267872988 8654362766 17308725532 30290269681 60580539362 121161078724