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122133131232 = 2537181745731
BaseRepresentation
bin111000110111110110…
…0111010111111100000
3102200020200000220102220
41301233230322333200
54000112040144412
6132035052511040
711552400325620
oct1615754727740
9380220026386
10122133131232
1147883a721a2
121b80617b480
13b6951054b8
145ca8778880
15329c3b468c
hex1c6fb3afe0

122133131232 has 48 divisors (see below), whose sum is σ = 366399395712. Its totient is φ = 34895180160.

The previous prime is 122133131221. The next prime is 122133131233. The reversal of 122133131232 is 232131331221.

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

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122133131233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90872194 + ... + 90873537.

It is an arithmetic number, because the mean of its divisors is an integer number (7633320744).

Almost surely, 2122133131232 is an apocalyptic number.

122133131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122133131232 is an abundant number, since it is smaller than the sum of its proper divisors (244266264480).

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

122133131232 is a wasteful number, since it uses less digits than its factorization.

122133131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181745751 (or 181745743 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 122133131232 its reverse (232131331221), we get a palindrome (354264462453).

The spelling of 122133131232 in words is "one hundred twenty-two billion, one hundred thirty-three million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 181745731 363491462 545237193 726982924 1090474386 1272220117 1453965848 2180948772 2544440234 2907931696 3816660351 4361897544 5088880468 5815863392 7633320702 8723795088 10177760936 15266641404 17447590176 20355521872 30533282808 40711043744 61066565616 122133131232