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122013121232 = 24294713142709
BaseRepresentation
bin111000110100010001…
…1000111101011010000
3102122221022012202200002
41301220203013223100
53444340324334412
6132015124345132
711546412263342
oct1615043075320
9378838182602
10122013121232
1147822253982
121b791b451a8
13b6762a6b72
145c96859292
153291aaadc2
hex1c688c7ad0

122013121232 has 80 divisors (see below), whose sum is σ = 251667820800. Its totient is φ = 57208220160.

The previous prime is 122013121207. The next prime is 122013121253. The reversal of 122013121232 is 232121310221.

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 15 ways as a sum of consecutive naturals, for example, 2835494 + ... + 2878202.

It is an arithmetic number, because the mean of its divisors is an integer number (3145847760).

Almost surely, 2122013121232 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 122013121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125833910400).

122013121232 is an abundant number, since it is smaller than the sum of its proper divisors (129654699568).

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

122013121232 is a wasteful number, since it uses less digits than its factorization.

122013121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42924 (or 42918 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122013121232 its reverse (232121310221), we get a palindrome (354134431453).

The spelling of 122013121232 in words is "one hundred twenty-two billion, thirteen million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 47 58 94 116 131 188 232 262 376 464 524 752 1048 1363 2096 2726 3799 5452 6157 7598 10904 12314 15196 21808 24628 30392 42709 49256 60784 85418 98512 170836 178553 341672 357106 683344 714212 1238561 1428424 2007323 2477122 2856848 4014646 4954244 5594879 8029292 9908488 11189758 16058584 19816976 22379516 32117168 44759032 58212367 89518064 116424734 162251491 232849468 262959313 324502982 465698936 525918626 649005964 931397872 1051837252 1298011928 2103674504 2596023856 4207349008 7625820077 15251640154 30503280308 61006560616 122013121232