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122340553020 = 2232572431631979
BaseRepresentation
bin111000111110000010…
…0001011000100111100
3102200210010100000122100
41301330010023010330
54001023140144040
6132111422345100
711560466354100
oct1617404130474
9380703300570
10122340553020
1147980064264
121b86372b190
13b6c908a99a
145cc812d900
1532b06d7b30
hex1c7c10b13c

122340553020 has 432 divisors, whose sum is σ = 444661176960. Its totient is φ = 27131956992.

The previous prime is 122340553009. The next prime is 122340553037. The reversal of 122340553020 is 20355043221.

It is a happy number.

122340553020 is a `hidden beast` number, since 1 + 223 + 405 + 5 + 30 + 2 + 0 = 666.

It is a super-2 number, since 2×1223405530202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61818391 + ... + 61820369.

It is an arithmetic number, because the mean of its divisors is an integer number (1029308280).

Almost surely, 2122340553020 is an apocalyptic number.

122340553020 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 122340553020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222330588480).

122340553020 is an abundant number, since it is smaller than the sum of its proper divisors (322320623940).

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

122340553020 is a wasteful number, since it uses less digits than its factorization.

122340553020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 122340553020 its reverse (20355043221), we get a palindrome (142695596241).

The spelling of 122340553020 in words is "one hundred twenty-two billion, three hundred forty million, five hundred fifty-three thousand, twenty".