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122323012320 = 253519233715761
BaseRepresentation
bin111000111101100000…
…1010000101011100000
3102200201220022212022210
41301323001100223200
54001004142343240
6132105554402120
711560164310035
oct1617301205340
9380656285283
10122323012320
1147971173713
121b859890340
13b6c5558a82
145cc5a8538c
1532addc0780
hex1c7b050ae0

122323012320 has 384 divisors, whose sum is σ = 434698306560. Its totient is φ = 28758343680.

The previous prime is 122323012307. The next prime is 122323012333. The reversal of 122323012320 is 23210323221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122323012307) and next prime (122323012333).

It is a congruent number.

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, 7753240 + ... + 7769000.

It is an arithmetic number, because the mean of its divisors is an integer number (1132026840).

Almost surely, 2122323012320 is an apocalyptic number.

122323012320 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 122323012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217349153280).

122323012320 is an abundant number, since it is smaller than the sum of its proper divisors (312375294240).

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

122323012320 is a wasteful number, since it uses less digits than its factorization.

122323012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15858 (or 15850 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 122323012320 its reverse (23210323221), we get a palindrome (145533335541).

The spelling of 122323012320 in words is "one hundred twenty-two billion, three hundred twenty-three million, twelve thousand, three hundred twenty".