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1241212121720 = 235372234218933
BaseRepresentation
bin10010000011111110000…
…000011111001001111000
311101122210012120210212222
4102003332000133021320
5130314000300343340
62350112135223212
7155450251646264
oct22037600371170
94348705523788
101241212121720
1143943898011a
1218067b517b08
1390079816c4c
1444109a9d0a4
1522447d048b5
hex120fe01f278

1241212121720 has 128 divisors (see below), whose sum is σ = 2888234979840. Its totient is φ = 479704135680.

The previous prime is 1241212121713. The next prime is 1241212121771. The reversal of 1241212121720 is 271212121421.

It is a super-2 number, since 2×12412121217202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1241212121720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138942374 + ... + 138951306.

It is an arithmetic number, because the mean of its divisors is an integer number (22564335780).

Almost surely, 21241212121720 is an apocalyptic number.

1241212121720 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 1241212121720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444117489920).

1241212121720 is an abundant number, since it is smaller than the sum of its proper divisors (1647022858120).

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

1241212121720 is a wasteful number, since it uses less digits than its factorization.

1241212121720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9625 (or 9621 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The spelling of 1241212121720 in words is "one trillion, two hundred forty-one billion, two hundred twelve million, one hundred twenty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 223 296 370 421 446 740 842 892 1115 1480 1684 1784 2105 2230 3368 4210 4460 8251 8420 8920 8933 15577 16502 16840 17866 31154 33004 35732 41255 44665 62308 66008 71464 77885 82510 89330 93883 124616 155770 165020 178660 187766 311540 330040 330521 357320 375532 469415 623080 661042 751064 938830 1322084 1652605 1877660 1992059 2644168 3305210 3473671 3755320 3760793 3984118 6610420 6947342 7521586 7968236 9960295 13220840 13894684 15043172 15936472 17368355 18803965 19920590 27789368 30086344 34736710 37607930 39841180 69473420 73706183 75215860 79682360 138946840 139149341 147412366 150431720 278298682 294824732 368530915 556597364 589649464 695746705 737061830 838656839 1113194728 1391493410 1474123660 1677313678 2782986820 2948247320 3354627356 4193284195 5565973640 6709254712 8386568390 16773136780 31030303043 33546273560 62060606086 124121212172 155151515215 248242424344 310303030430 620606060860 1241212121720