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121551244164 = 22347227672
BaseRepresentation
bin111000100110100000…
…1001100101110000100
3102121202010002222110000
41301031001030232010
53442414104303124
6131501225001300
711532103346100
oct1611501145604
9377663088400
10121551244164
1147605565899
121b683323230
13b6016ac11c
145c51388900
1532662736c9
hex1c4d04cb84

121551244164 has 135 divisors (see below), whose sum is σ = 369771612903. Its totient is φ = 34716375792.

The previous prime is 121551244141. The next prime is 121551244181. The reversal of 121551244164 is 461442155121.

The square root of 121551244164 is 348642.

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

121551244164 is a `hidden beast` number, since 1 + 2 + 1 + 551 + 2 + 4 + 41 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 43927509 + ... + 43930275.

Almost surely, 2121551244164 is an apocalyptic number.

121551244164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

121551244164 is the 348642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121551244164

121551244164 is an abundant number, since it is smaller than the sum of its proper divisors (248220368739).

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

121551244164 is an frugal number, since it uses more digits than its factorization.

121551244164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564 (or 2779 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

Multiplying 121551244164 by its sum of digits (36), we get a square (4375844789904 = 20918522).

121551244164 divided by its sum of digits (36) gives a square (3376423449 = 581072).

Adding to 121551244164 its reverse (461442155121), we get a palindrome (582993399285).

The spelling of 121551244164 in words is "one hundred twenty-one billion, five hundred fifty-one million, two hundred forty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 2767 3969 5292 5534 7938 8301 11068 15876 16602 19369 24903 33204 38738 49806 58107 74709 77476 99612 116214 135583 149418 174321 224127 232428 271166 298836 348642 406749 448254 522963 542332 697284 813498 896508 1045926 1220247 1568889 1626996 2091852 2440494 3137778 3660741 4880988 6275556 7321482 7656289 10982223 14642964 15312578 21964446 22968867 30625156 43928892 45937734 53594023 68906601 91875468 107188046 137813202 160782069 206719803 214376092 275626404 321564138 375158161 413439606 482346207 620159409 643128276 750316322 826879212 964692414 1125474483 1240318818 1447038621 1500632644 1929384828 2250948966 2480637636 2894077242 3376423449 4341115863 4501897932 5788154484 6752846898 8682231726 10129270347 13505693796 17364463452 20258540694 30387811041 40517081388 60775622082 121551244164