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122012462040 = 233571311108801
BaseRepresentation
bin111000110100010000…
…0100110101111011000
3102122221020222021102120
41301220200212233120
53444340142241130
6132015102301240
711546403546450
oct1615040465730
9378836867376
10122012462040
1147821943697
121b791887820
13b676105b01
145c96726d60
1532919ca910
hex1c68826bd8

122012462040 has 128 divisors (see below), whose sum is σ = 421522168320. Its totient is φ = 27675648000.

The previous prime is 122012461979. The next prime is 122012462071. The reversal of 122012462040 is 40264210221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122012462040.

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 31 ways as a sum of consecutive naturals, for example, 444361 + ... + 664440.

It is an arithmetic number, because the mean of its divisors is an integer number (3293141940).

Almost surely, 2122012462040 is an apocalyptic number.

122012462040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122012462040 is an abundant number, since it is smaller than the sum of its proper divisors (299509706280).

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

122012462040 is a wasteful number, since it uses less digits than its factorization.

122012462040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108953 (or 1108949 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 122012462040 its reverse (40264210221), we get a palindrome (162276672261).

The spelling of 122012462040 in words is "one hundred twenty-two billion, twelve million, four hundred sixty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 131 140 168 210 262 280 393 420 524 655 786 840 917 1048 1310 1572 1834 1965 2620 2751 3144 3668 3930 4585 5240 5502 7336 7860 9170 11004 13755 15720 18340 22008 27510 36680 55020 110040 1108801 2217602 3326403 4435204 5544005 6652806 7761607 8870408 11088010 13305612 15523214 16632015 22176020 23284821 26611224 31046428 33264030 38808035 44352040 46569642 62092856 66528060 77616070 93139284 116424105 133056120 145252931 155232140 186278568 232848210 290505862 310464280 435758793 465696420 581011724 726264655 871517586 931392840 1016770517 1162023448 1452529310 1743035172 2033541034 2178793965 2905058620 3050311551 3486070344 4067082068 4357587930 5083852585 5810117240 6100623102 8134164136 8715175860 10167705170 12201246204 15251557755 17430351720 20335410340 24402492408 30503115510 40670820680 61006231020 122012462040