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121224331202020 = 22523737614743779
BaseRepresentation
bin11011100100000010111101…
…001100110000110111100100
3120220012221012001221021101021
4123210002331030300313210
5111342114412241431040
61105453404451340524
734351111635533224
oct3344027514606744
9526187161837337
10121224331202020
1135697a4a719522
121171a1072b1744
135284536814927
1421d1408baa084
15e034ca45624a
hex6e40bd330de4

121224331202020 has 96 divisors (see below), whose sum is σ = 269632204773120. Its totient is φ = 45685997660160.

The previous prime is 121224331202003. The next prime is 121224331202021. The reversal of 121224331202020 is 20202133422121.

It is not an unprimeable number, because it can be changed into a prime (121224331202021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23182491 + ... + 27926269.

It is an arithmetic number, because the mean of its divisors is an integer number (2808668799720).

Almost surely, 2121224331202020 is an apocalyptic number.

121224331202020 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 121224331202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134816102386560).

121224331202020 is an abundant number, since it is smaller than the sum of its proper divisors (148407873571100).

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

121224331202020 is a wasteful number, since it uses less digits than its factorization.

121224331202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744645 (or 4744643 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 121224331202020 its reverse (20202133422121), we get a palindrome (141426464624141).

The spelling of 121224331202020 in words is "one hundred twenty-one trillion, two hundred twenty-four billion, three hundred thirty-one million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 73 92 115 146 230 292 365 460 730 761 1460 1522 1679 3044 3358 3805 6716 7610 8395 15220 16790 17503 33580 35006 55553 70012 87515 111106 175030 222212 277765 350060 555530 1111060 1277719 2555438 4743779 5110876 6388595 9487558 12777190 18975116 23718895 25554380 47437790 94875580 109106917 218213834 346295867 436427668 545534585 692591734 1091069170 1385183468 1731479335 2182138340 3462958670 3610015819 6925917340 7220031638 7964804941 14440063276 15929609882 18050079095 31859219764 36100158190 39824024705 72200316380 79648049410 83030363837 159296098820 166060727674 263531154787 332121455348 415151819185 527062309574 830303638370 1054124619148 1317655773935 1660607276740 2635311547870 5270623095740 6061216560101 12122433120202 24244866240404 30306082800505 60612165601010 121224331202020