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122414424320 = 285671427407
BaseRepresentation
bin111001000000001110…
…1111110000100000000
3102200222021100002000102
41302000131332010000
54001201043034240
6132123021541532
711562354303236
oct1620035760400
9380867302012
10122414424320
1147a08829921
121b8844148a8
13b70b483606
145cd3c7c956
1532b6e2a815
hex1c8077e100

122414424320 has 72 divisors (see below), whose sum is σ = 297597439104. Its totient is φ = 48234903552.

The previous prime is 122414424299. The next prime is 122414424323. The reversal of 122414424320 is 23424414221.

It is a happy number.

It is a super-3 number, since 3×1224144243203 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122414424323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627944 + ... + 799463.

Almost surely, 2122414424320 is an apocalyptic number.

122414424320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122414424320 is an abundant number, since it is smaller than the sum of its proper divisors (175183014784).

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

122414424320 is an equidigital number, since it uses as much as digits as its factorization.

122414424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427495 (or 1427481 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 122414424320 its reverse (23424414221), we get a palindrome (145838838541).

The spelling of 122414424320 in words is "one hundred twenty-two billion, four hundred fourteen million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 256 268 320 335 536 640 670 1072 1280 1340 2144 2680 4288 5360 8576 10720 17152 21440 42880 85760 1427407 2854814 5709628 7137035 11419256 14274070 22838512 28548140 45677024 57096280 91354048 95636269 114192560 182708096 191272538 228385120 365416192 382545076 456770240 478181345 765090152 913540480 956362690 1530180304 1827080960 1912725380 3060360608 3825450760 6120721216 7650901520 12241442432 15301803040 24482884864 30603606080 61207212160 122414424320