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121232222010 = 2325731373672
BaseRepresentation
bin111000011101000000…
…0001110011100111010
3102120220212210222022200
41300322000032130322
53441240422101020
6131405431131030
711521150612254
oct1607200163472
9376825728280
10121232222010
1147461479819
121b5b4513a76
13b580581013
145c20c62cd4
153248258590
hex1c3a00e73a

121232222010 has 144 divisors (see below), whose sum is σ = 322733287656. Its totient is φ = 31566744576.

The previous prime is 121232222003. The next prime is 121232222029. The reversal of 121232222010 is 10222232121.

121232222010 is a `hidden beast` number, since 121 + 2 + 322 + 220 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104066243649 + 17165978361 = 322593^2 + 131019^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 330332847 + ... + 330333213.

Almost surely, 2121232222010 is an apocalyptic number.

121232222010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121232222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161366643828).

121232222010 is an abundant number, since it is smaller than the sum of its proper divisors (201501065646).

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

121232222010 is a wasteful number, since it uses less digits than its factorization.

121232222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 121232222010 its reverse (10222232121), we get a palindrome (131454454131).

The spelling of 121232222010 in words is "one hundred twenty-one billion, two hundred thirty-two million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 137 146 219 274 365 367 411 438 657 685 730 734 822 1095 1101 1233 1314 1370 1835 2055 2190 2202 2466 3285 3303 3670 4110 5505 6165 6570 6606 10001 11010 12330 16515 20002 26791 30003 33030 50005 50279 53582 60006 80373 90009 100010 100558 133955 134689 150015 150837 160746 180018 241119 251395 267910 269378 300030 301674 401865 404067 450045 452511 482238 502790 673445 754185 803730 808134 900090 905022 1205595 1212201 1346890 1508370 2020335 2262555 2411190 2424402 3670367 4040670 4525110 6061005 7340734 9832297 11011101 12122010 18351835 18452393 19664594 22022202 29496891 33033303 36703670 36904786 49161485 55055505 55357179 58993782 66066606 88490673 92261965 98322970 110111010 110714358 147484455 165166515 166071537 176981346 184523930 276785895 294968910 330333030 332143074 442453365 553571790 830357685 884906730 1347024689 1660715370 2694049378 4041074067 6735123445 8082148134 12123222201 13470246890 20205370335 24246444402 40410740670 60616111005 121232222010