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122212340144020 = 22573473796637711
BaseRepresentation
bin11011110010011011000111…
…000111110001011110010100
3121000201101102010001211122001
4123302123013013301132110
5112004311333034102040
61111531323552045044
734512356501140420
oct3362330707613624
9530641363054561
10122212340144020
1135a38a64a40025
12118596a1533784
135326760759a79
142227174881b80
15e1e05411659a
hex6f26c71f1794

122212340144020 has 96 divisors (see below), whose sum is σ = 294931067719680. Its totient is φ = 41670375143040.

The previous prime is 122212340144009. The next prime is 122212340144101. The reversal of 122212340144020 is 20441043212221.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 122212340144020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15092965 + ... + 21730675.

It is an arithmetic number, because the mean of its divisors is an integer number (3072198622080).

Almost surely, 2122212340144020 is an apocalyptic number.

122212340144020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212340144020 is an abundant number, since it is smaller than the sum of its proper divisors (172718727575660).

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

122212340144020 is a wasteful number, since it uses less digits than its factorization.

122212340144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638453 (or 6638451 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 122212340144020 its reverse (20441043212221), we get a palindrome (142653383356241).

The spelling of 122212340144020 in words is "one hundred twenty-two trillion, two hundred twelve billion, three hundred forty million, one hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 347 379 694 758 1388 1516 1735 1895 2429 2653 3470 3790 4858 5306 6940 7580 9716 10612 12145 13265 24290 26530 48580 53060 131513 263026 526052 657565 920591 1315130 1841182 2630260 3682364 4602955 6637711 9205910 13275422 18411820 26550844 33188555 46463977 66377110 92927954 132754220 185855908 232319885 464639770 929279540 2303285717 2515692469 4606571434 5031384938 9213142868 10062769876 11516428585 12578462345 16123000019 17609847283 23032857170 25156924690 32246000038 35219694566 46065714340 50313849380 64492000076 70439389132 80615000095 88049236415 161230000190 176098472830 322460000380 352196945660 872945286743 1745890573486 3491781146972 4364726433715 6110617007201 8729452867430 12221234014402 17458905734860 24442468028804 30553085036005 61106170072010 122212340144020