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121420404014410 = 251737349389142189
BaseRepresentation
bin11011100110111001100100…
…000011001011110101001010
3120220220200021201112011020201
4123212321210003023311022
5111403322441411430120
61110123432532242414
734401222542122534
oct3346714403136512
9526820251464221
10121420404014410
1135763116708526
121175010777040a
135299b83327047
1421daac948c854
15e08653c3940a
hex6e6e640cbd4a

121420404014410 has 128 divisors (see below), whose sum is σ = 238962807720000. Its totient is φ = 44234017947648.

The previous prime is 121420404014347. The next prime is 121420404014411. The reversal of 121420404014410 is 14410404024121.

It can be written as a sum of positive squares in 32 ways, for example, as 659491792281 + 120760912222129 = 812091^2 + 10989127^2 .

It is a super-2 number, since 2×1214204040144102 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121420404014411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 853865596 + ... + 854007784.

Almost surely, 2121420404014410 is an apocalyptic number.

121420404014410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121420404014410 is a deficient number, since it is larger than the sum of its proper divisors (117542403705590).

121420404014410 is a wasteful number, since it uses less digits than its factorization.

121420404014410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142988.

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 121420404014410 its reverse (14410404024121), we get a palindrome (135830808038531).

The spelling of 121420404014410 in words is "one hundred twenty-one trillion, four hundred twenty billion, four hundred four million, fourteen thousand, four hundred ten".

Divisors: 1 2 5 10 17 34 37 74 85 170 185 349 370 389 629 698 778 1258 1745 1945 3145 3490 3890 5933 6290 6613 11866 12913 13226 14393 25826 28786 29665 33065 59330 64565 66130 71965 129130 135761 142189 143930 219521 244681 271522 284378 439042 489362 678805 710945 1097605 1223405 1357610 1421890 2195210 2307937 2417213 2446810 4615874 4834426 5023157 5260993 10046314 10521986 11539685 12086065 23079370 24172130 25115785 26304965 49623961 50231570 52609930 55311521 85393669 89436881 99247922 110623042 170787338 178873762 248119805 276557605 426968345 447184405 496239610 553115210 843607337 853936690 894368810 940295857 1687214674 1836086557 1880591714 2046526277 3672173114 4093052554 4218036685 4701479285 8436073370 9180432785 9402958570 10232631385 18360865570 19303720829 20465262770 31213471469 34790946709 38607441658 62426942938 69581893418 96518604145 156067357345 173954733545 193037208290 312134714690 328163254093 347909467090 656326508186 714237670673 1428475341346 1640816270465 3281632540930 3571188353365 7142376706730 12142040401441 24284080802882 60710202007205 121420404014410