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122412504040 = 2353206995429
BaseRepresentation
bin111001000000001011…
…0101001001111101000
3102200222010201111212221
41302000112221033220
54001200100112130
6132122512443424
711562332054611
oct1620026511750
9380863644787
10122412504040
1147a07738112
121b883849574
13b70ac60558
145cd38dcc08
1532b6b9b87a
hex1c805a93e8

122412504040 has 32 divisors (see below), whose sum is σ = 275439609000. Its totient is φ = 48962961664.

The previous prime is 122412504007. The next prime is 122412504077. The reversal of 122412504040 is 40405214221.

It can be written as a sum of positive squares in 4 ways, for example, as 121091472324 + 1321031716 = 347982^2 + 36346^2 .

It is a super-2 number, since 2×1224125040402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122412503996 and 122412504014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1235046 + ... + 1330474.

Almost surely, 2122412504040 is an apocalyptic number.

122412504040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122412504040 is an abundant number, since it is smaller than the sum of its proper divisors (153027104960).

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

122412504040 is a wasteful number, since it uses less digits than its factorization.

122412504040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127509 (or 127505 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 122412504040 its reverse (40405214221), we get a palindrome (162817718261).

The spelling of 122412504040 in words is "one hundred twenty-two billion, four hundred twelve million, five hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 32069 64138 95429 128276 160345 190858 256552 320690 381716 477145 641380 763432 954290 1282760 1908580 3817160 3060312601 6120625202 12241250404 15301563005 24482500808 30603126010 61206252020 122412504040