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12240010502100 = 22335232031415341
BaseRepresentation
bin1011001000011101100101…
…1110100101111111010100
31121100010121101011212222000
42302013121132211333110
53101020020142031400
642010552212035300
72402211604430463
oct262073136457724
947303541155860
1012240010502100
113999a60917467
121458242902b30
136aa2c6cca574
143045c38029da
151635cdc53600
hexb21d97a5fd4

12240010502100 has 144 divisors (see below), whose sum is σ = 39361680066240. Its totient is φ = 3262981449600.

The previous prime is 12240010502099. The next prime is 12240010502113. The reversal of 12240010502100 is 120501004221.

12240010502100 is a `hidden beast` number, since 1 + 2 + 2 + 400 + 1 + 0 + 50 + 210 + 0 = 666.

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

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, 7940430 + ... + 9355770.

It is an arithmetic number, because the mean of its divisors is an integer number (273345000460).

Almost surely, 212240010502100 is an apocalyptic number.

12240010502100 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 12240010502100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19680840033120).

12240010502100 is an abundant number, since it is smaller than the sum of its proper divisors (27121669564140).

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

12240010502100 is a wasteful number, since it uses less digits than its factorization.

12240010502100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418567 (or 1418554 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12240010502100 its reverse (120501004221), we get a palindrome (12360511506321).

The spelling of 12240010502100 in words is "twelve trillion, two hundred forty billion, ten million, five hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 3203 6406 9609 12812 16015 19218 28827 32030 38436 48045 57654 64060 80075 86481 96090 115308 144135 160150 172962 192180 240225 288270 320300 345924 432405 480450 576540 720675 864810 960900 1415341 1441350 1729620 2162025 2830682 2882700 4246023 4324050 5661364 7076705 8492046 8648100 12738069 14153410 16984092 21230115 25476138 28306820 35383525 38214207 42460230 50952276 63690345 70767050 76428414 84920460 106150575 127380690 141534100 152856828 191071035 212301150 254761380 318451725 382142070 424602300 636903450 764284140 955355175 1273806900 1910710350 3821420700 4533337223 9066674446 13600011669 18133348892 22666686115 27200023338 40800035007 45333372230 54400046676 68000058345 81600070014 90666744460 113333430575 122400105021 136000116690 163200140028 204000175035 226666861150 244800210042 272000233380 340000291725 408000350070 453333722300 489600420084 612000525105 680000583450 816000700140 1020000875175 1224001050210 1360001166900 2040001750350 2448002100420 3060002625525 4080003500700 6120005251050 12240010502100