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121002420 = 223571122381
BaseRepresentation
bin1110011011001…
…01100110110100
322102200120010010
413031211212310
5221434034140
620001300220
72666334510
oct715454664
9272616103
10121002420
1162336a00
1234634670
131c0b8286
14120db140
15a952880
hex73659b4

121002420 has 144 divisors (see below), whose sum is σ = 425787264. Its totient is φ = 25132800.

The previous prime is 121002407. The next prime is 121002433. The reversal of 121002420 is 24200121.

It is an interprime number because it is at equal distance from previous prime (121002407) and next prime (121002433).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121002396 and 121002405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49630 + ... + 52010.

It is an arithmetic number, because the mean of its divisors is an integer number (2956856).

Almost surely, 2121002420 is an apocalyptic number.

121002420 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 121002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212893632).

121002420 is an abundant number, since it is smaller than the sum of its proper divisors (304784844).

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

121002420 is a wasteful number, since it uses less digits than its factorization.

121002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 121002420 is about 11000.1099994500. The cubic root of 121002420 is about 494.6120416945.

Adding to 121002420 its reverse (24200121), we get a palindrome (145202541).

The spelling of 121002420 in words is "one hundred twenty-one million, two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 121 132 140 154 165 210 220 231 242 308 330 363 385 420 462 484 605 660 726 770 847 924 1155 1210 1452 1540 1694 1815 2310 2381 2420 2541 3388 3630 4235 4620 4762 5082 7143 7260 8470 9524 10164 11905 12705 14286 16667 16940 23810 25410 26191 28572 33334 35715 47620 50001 50820 52382 66668 71430 78573 83335 100002 104764 130955 142860 157146 166670 183337 200004 250005 261910 288101 314292 333340 366674 392865 500010 523820 550011 576202 733348 785730 864303 916685 1000020 1100022 1152404 1440505 1571460 1728606 1833370 2016707 2200044 2750055 2881010 3457212 3666740 4033414 4321515 5500110 5762020 6050121 8066828 8643030 10083535 11000220 12100242 17286060 20167070 24200484 30250605 40334140 60501210 121002420