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122682904240 = 245131923183127
BaseRepresentation
bin111001001000001111…
…0001000111010110000
3102201122222112021020011
41302100132020322300
54002223310413430
6132205412224304
711602124323441
oct1622036107260
9381588467204
10122682904240
1148036334856
121b93a30b094
13b751c96580
145d1b7a92c8
1532d07b022a
hex1c90788eb0

122682904240 has 480 divisors, whose sum is σ = 341354151936. Its totient is φ = 40706426880.

The previous prime is 122682904229. The next prime is 122682904247. The reversal of 122682904240 is 42409286221.

It is a happy number.

It is a super-2 number, since 2×1226829042402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 122682904193 and 122682904202.

It is not an unprimeable number, because it can be changed into a prime (122682904247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 966007057 + ... + 966007183.

Almost surely, 2122682904240 is an apocalyptic number.

122682904240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122682904240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170677075968).

122682904240 is an abundant number, since it is smaller than the sum of its proper divisors (218671247696).

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

122682904240 is a wasteful number, since it uses less digits than its factorization.

122682904240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 122682904240 in words is "one hundred twenty-two billion, six hundred eighty-two million, nine hundred four thousand, two hundred forty".