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121212021120 = 2735505912479
BaseRepresentation
bin111000011100011001…
…1001010100110000000
3102120212110210122220120
41300320303022212000
53441220234133440
6131403430140240
711520514115451
oct1607063124600
9376773718816
10121212021120
1147451031573
121b5a97b1680
13b57932a328
145c1c2c5128
1532465b7dd0
hex1c38cca980

121212021120 has 128 divisors (see below), whose sum is σ = 386470656000. Its totient is φ = 32314226688.

The previous prime is 121212021097. The next prime is 121212021163. The reversal of 121212021120 is 21120212121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121212021120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9707041 + ... + 9719519.

It is an arithmetic number, because the mean of its divisors is an integer number (3019302000).

Almost surely, 2121212021120 is an apocalyptic number.

121212021120 is a gapful number since it is divisible by the number (10) 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 121212021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193235328000).

121212021120 is an abundant number, since it is smaller than the sum of its proper divisors (265258634880).

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

121212021120 is a wasteful number, since it uses less digits than its factorization.

121212021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17560 (or 17548 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121212021120 its reverse (21120212121), we get a palindrome (142332233241).

The spelling of 121212021120 in words is "one hundred twenty-one billion, two hundred twelve million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 5059 10118 12479 15177 20236 24958 25295 30354 37437 40472 49916 50590 60708 62395 74874 75885 80944 99832 101180 121416 124790 149748 151770 161888 187185 199664 202360 242832 249580 299496 303540 323776 374370 399328 404720 485664 499160 598992 607080 647552 748740 798656 809440 971328 998320 1197984 1214160 1497480 1597312 1618880 1942656 1996640 2395968 2428320 2994960 3237760 3993280 4791936 4856640 5989920 7986560 9713280 11979840 23959680 63131261 126262522 189393783 252525044 315656305 378787566 505050088 631312610 757575132 946968915 1010100176 1262625220 1515150264 1893937830 2020200352 2525250440 3030300528 3787875660 4040400704 5050500880 6060601056 7575751320 8080801408 10101001760 12121202112 15151502640 20202003520 24242404224 30303005280 40404007040 60606010560 121212021120