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122396420034340 = 22570177311293829
BaseRepresentation
bin11011110101000110100011…
…001000110100111100100100
3121001100222112221212011020121
4123311012203020310330210
5112020320332012044330
61112152050015011324
734531564250322454
oct3365064310647444
9531328487764217
10122396420034340
1135aaa037272191
12118892b5509b44
13533ac187151aa
142232038469d64
15e23c29ac617a
hex6f51a3234f24

122396420034340 has 48 divisors (see below), whose sum is σ = 257732157599280. Its totient is φ = 48825477209600.

The previous prime is 122396420034337. The next prime is 122396420034389. The reversal of 122396420034340 is 43430024693221.

It can be written as a sum of positive squares in 8 ways, for example, as 637024267044 + 121759395767296 = 798138^2 + 11034464^2 .

It is a super-2 number, since 2×1223964200343402 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5190546 + ... + 16484374.

It is an arithmetic number, because the mean of its divisors is an integer number (5369419949985).

Almost surely, 2122396420034340 is an apocalyptic number.

122396420034340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122396420034340 is an abundant number, since it is smaller than the sum of its proper divisors (135335737564940).

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

122396420034340 is a wasteful number, since it uses less digits than its factorization.

122396420034340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11295312 (or 11295310 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 43.

The spelling of 122396420034340 in words is "one hundred twenty-two trillion, three hundred ninety-six billion, four hundred twenty million, thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 701 773 1402 1546 2804 3092 3505 3865 7010 7730 14020 15460 541873 1083746 2167492 2709365 5418730 10837460 11293829 22587658 45175316 56469145 112938290 225876580 7916974129 8730129817 15833948258 17460259634 31667896516 34920519268 39584870645 43650649085 79169741290 87301298170 158339482580 174602596340 6119821001717 12239642003434 24479284006868 30599105008585 61198210017170 122396420034340