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122014031424 = 2632373378493
BaseRepresentation
bin111000110100010011…
…0100101111001000000
3102122221100221000012220
41301220212211321000
53444341043001144
6132015200051040
711546423104065
oct1615046457100
9378840830186
10122014031424
11478228157aa
121b792303a80
13b67653523c
145c96a14c6c
153291bda919
hex1c689a5e40

122014031424 has 112 divisors (see below), whose sum is σ = 341480314752. Its totient is φ = 38370004992.

The previous prime is 122014031333. The next prime is 122014031431. The reversal of 122014031424 is 424130410221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122014031394 and 122014031403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133122 + ... + 511614.

Almost surely, 2122014031424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122014031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170740157376).

122014031424 is an abundant number, since it is smaller than the sum of its proper divisors (219466283328).

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

122014031424 is a wasteful number, since it uses less digits than its factorization.

122014031424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378604 (or 378594 counting only the distinct ones).

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

Adding to 122014031424 its reverse (424130410221), we get a palindrome (546144441645).

The spelling of 122014031424 in words is "one hundred twenty-two billion, fourteen million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 73 92 96 138 146 184 192 219 276 292 368 438 552 584 736 876 1104 1168 1472 1679 1752 2208 2336 3358 3504 4416 4672 5037 6716 7008 10074 13432 14016 20148 26864 40296 53728 80592 107456 161184 322368 378493 756986 1135479 1513972 2270958 3027944 4541916 6055888 8705339 9083832 12111776 17410678 18167664 24223552 26116017 27629989 34821356 36335328 52232034 55259978 69642712 72670656 82889967 104464068 110519956 139285424 165779934 208928136 221039912 278570848 331559868 417856272 442079824 557141696 635489747 663119736 835712544 884159648 1270979494 1326239472 1671425088 1768319296 1906469241 2541958988 2652478944 3812938482 5083917976 5304957888 7625876964 10167835952 15251753928 20335671904 30503507856 40671343808 61007015712 122014031424