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122313140032224 = 2537117945002939
BaseRepresentation
bin11011110011111000111111…
…010000110101001011100000
3121001002000121000211201012210
4123303320333100311023200
5112012434302322012344
61112045514131322120
734522555430065461
oct3363707720651340
9531060530751183
10122313140032224
1135a7779093aa59
1211875133150340
135333105bb052b
14222bdb7c3cd68
15e219a36a4db9
hex6f3e3f4352e0

122313140032224 has 48 divisors (see below), whose sum is σ = 325594133343360. Its totient is φ = 40196806581120.

The previous prime is 122313140032177. The next prime is 122313140032313. The reversal of 122313140032224 is 422230041313221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 122313140032191 and 122313140032200.

It is a congruent number.

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, 8972494654 + ... + 8972508285.

It is an arithmetic number, because the mean of its divisors is an integer number (6783211111320).

Almost surely, 2122313140032224 is an apocalyptic number.

It is an amenable number.

122313140032224 is an abundant number, since it is smaller than the sum of its proper divisors (203280993311136).

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

122313140032224 is a wasteful number, since it uses less digits than its factorization.

122313140032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17945003023 (or 17945003015 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 122313140032224 its reverse (422230041313221), we get a palindrome (544543181345445).

The spelling of 122313140032224 in words is "one hundred twenty-two trillion, three hundred thirteen billion, one hundred forty million, thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 17945002939 35890005878 53835008817 71780011756 107670017634 143560023512 215340035268 287120047024 430680070536 574240094048 861360141072 1274095208669 1722720282144 2548190417338 3822285626007 5096380834676 7644571252014 10192761669352 15289142504028 20385523338704 30578285008056 40771046677408 61156570016112 122313140032224