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122500440020 = 2257319939853
BaseRepresentation
bin111001000010110011…
…0000101111111010100
3102201012021012010101002
41302011212011333110
54001340103040040
6132135333322432
711564450363000
oct1620546057724
9381167163332
10122500440020
1147a52339782
121b8a9196418
13b72323bb8a
145d0146d700
1532be76ba15
hex1c85985fd4

122500440020 has 96 divisors (see below), whose sum is σ = 315790944000. Its totient is φ = 39789574272.

The previous prime is 122500440019. The next prime is 122500440037. The reversal of 122500440020 is 20044005221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122500439974 and 122500440001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339587 + ... + 600266.

It is an arithmetic number, because the mean of its divisors is an integer number (3289489000).

Almost surely, 2122500440020 is an apocalyptic number.

122500440020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122500440020 is an abundant number, since it is smaller than the sum of its proper divisors (193290503980).

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

122500440020 is a wasteful number, since it uses less digits than its factorization.

122500440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939902 (or 939886 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 122500440020 its reverse (20044005221), we get a palindrome (142544445241).

The spelling of 122500440020 in words is "one hundred twenty-two billion, five hundred million, four hundred forty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 343 380 490 532 665 686 931 980 1330 1372 1715 1862 2660 3430 3724 4655 6517 6860 9310 13034 18620 26068 32585 65170 130340 939853 1879706 3759412 4699265 6578971 9398530 13157942 17857207 18797060 26315884 32894855 35714414 46052797 65789710 71428828 89286035 92105594 125000449 131579420 178572070 184211188 230263985 250000898 322369579 357144140 460527970 500001796 625002245 644739158 875003143 921055940 1250004490 1289478316 1611847895 1750006286 2500008980 3223695790 3500012572 4375015715 6125022001 6447391580 8750031430 12250044002 17500062860 24500088004 30625110005 61250220010 122500440020