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122121100010 = 25713181741431
BaseRepresentation
bin111000110111011111…
…1000001101011101010
3102200012211101122201002
41301232333001223222
54000101000200020
6132033542555002
711552163136310
oct1615677015352
9380184348632
10122121100010
11478781a4a38
121b802138a62
13b692782230
145ca6d260b0
15329b2d9975
hex1c6efc1aea

122121100010 has 64 divisors (see below), whose sum is σ = 272040297984. Its totient is φ = 38435731200.

The previous prime is 122121099979. The next prime is 122121100021. The reversal of 122121100010 is 10001121221.

122121100010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122121099964 and 122121100000.

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, 206006 + ... + 535425.

It is an arithmetic number, because the mean of its divisors is an integer number (4250629656).

Almost surely, 2122121100010 is an apocalyptic number.

122121100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122121100010 is an abundant number, since it is smaller than the sum of its proper divisors (149919197974).

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

122121100010 is a wasteful number, since it uses less digits than its factorization.

122121100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741639.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122121100010 its reverse (10001121221), we get a palindrome (132122221231).

The spelling of 122121100010 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 181 182 362 455 905 910 1267 1810 2353 2534 4706 6335 11765 12670 16471 23530 32942 82355 164710 741431 1482862 3707155 5190017 7414310 9638603 10380034 19277206 25950085 48193015 51900170 67470221 96386030 134199011 134940442 268398022 337351105 670995055 674702210 939393077 1341990110 1744587143 1878786154 3489174286 4696965385 8722935715 9393930770 12212110001 17445871430 24424220002 61060550005 122121100010