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121333331196 = 2232711317138079
BaseRepresentation
bin111000100000000000…
…1111011010011111100
3102121011221001212001100
41301000001323103330
53441442313044241
6131423442213100
711523516204240
oct1610001732374
9377157055040
10121333331196
1147503558630
121b622354190
13b5984c263c
145c30462420
15325207b9b6
hex1c4007b4fc

121333331196 has 144 divisors (see below), whose sum is σ = 383592867840. Its totient is φ = 31415506560.

The previous prime is 121333331179. The next prime is 121333331239. The reversal of 121333331196 is 691133333121.

121333331196 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 333 + 311 + 9 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121333331196.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 809685 + ... + 947763.

It is an arithmetic number, because the mean of its divisors is an integer number (2663839360).

Almost surely, 2121333331196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121333331196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191796433920).

121333331196 is an abundant number, since it is smaller than the sum of its proper divisors (262259536644).

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

121333331196 is a wasteful number, since it uses less digits than its factorization.

121333331196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138424 (or 138419 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The spelling of 121333331196 in words is "one hundred twenty-one billion, three hundred thirty-three million, three hundred thirty-one thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 317 396 462 634 693 924 951 1268 1386 1902 2219 2772 2853 3487 3804 4438 5706 6657 6974 8876 10461 11412 13314 13948 19971 20922 24409 26628 31383 39942 41844 48818 62766 73227 79884 97636 125532 138079 146454 219681 276158 292908 414237 439362 552316 828474 878724 966553 1242711 1518869 1656948 1933106 2485422 2899659 3037738 3866212 4556607 4970844 5799318 6075476 8698977 9113214 10632083 11598636 13669821 17397954 18226428 21264166 27339642 31896249 34795908 42528332 43771043 54679284 63792498 87542086 95688747 127584996 131313129 175084172 191377494 262626258 306397301 382754988 393939387 481481473 525252516 612794602 787878774 919191903 962962946 1225589204 1444444419 1575757548 1838383806 1925925892 2757575709 2888888838 3370370311 3676767612 4333333257 5515151418 5777777676 6740740622 8666666514 10111110933 11030302836 13481481244 17333333028 20222221866 30333332799 40444443732 60666665598 121333331196