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122402320040 = 235711134174561
BaseRepresentation
bin111000111111110111…
…1110010111010101000
3102200221102120010001202
41301333233302322220
54001134443220130
6132121510303332
711562146360630
oct1617757627250
9380842503052
10122402320040
1147a01a11790
121b880357b48
13b708b06010
145cd240b6c0
1532b5d39145
hex1c7fbf2ea8

122402320040 has 256 divisors, whose sum is σ = 378798819840. Its totient is φ = 34357248000.

The previous prime is 122402320009. The next prime is 122402320057. The reversal of 122402320040 is 40023204221.

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 = 122402319994 and 122402320021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1604360 + ... + 1678920.

It is an arithmetic number, because the mean of its divisors is an integer number (1479682890).

Almost surely, 2122402320040 is an apocalyptic number.

122402320040 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 122402320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189399409920).

122402320040 is an abundant number, since it is smaller than the sum of its proper divisors (256396499800).

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

122402320040 is a wasteful number, since it uses less digits than its factorization.

122402320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74644 (or 74640 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 122402320040 its reverse (40023204221), we get a palindrome (162425524261).

The spelling of 122402320040 in words is "one hundred twenty-two billion, four hundred two million, three hundred twenty thousand, forty".