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122032331311232 = 2713930313226267
BaseRepresentation
bin11011101111110011011101…
…110000100100100010000000
3121000002011202222200200002002
4123233303131300210202000
5111443334203303424412
61111312513514043132
734463354634251636
oct3357633560444200
9530064688620062
10122032331311232
1135979691715721
121182a824a194a8
1353127a4042024
14221c579827356
15e1951ac65dc2
hex6efcddc24880

122032331311232 has 64 divisors (see below), whose sum is σ = 244869447026400. Its totient is φ = 60574934329344.

The previous prime is 122032331311223. The next prime is 122032331311249. The reversal of 122032331311232 is 232113133230221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 122032331311195 and 122032331311204.

It is an unprimeable number.

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, 539215763 + ... + 539442029.

Almost surely, 2122032331311232 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 122032331311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122434723513200).

122032331311232 is an abundant number, since it is smaller than the sum of its proper divisors (122837115715168).

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

122032331311232 is a wasteful number, since it uses less digits than its factorization.

122032331311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256733 (or 256721 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 122032331311232 its reverse (232113133230221), we get a palindrome (354145464541453).

The spelling of 122032331311232 in words is "one hundred twenty-two trillion, thirty-two billion, three hundred thirty-one million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 139 278 556 1112 2224 4448 8896 17792 30313 60626 121252 226267 242504 452534 485008 905068 970016 1810136 1940032 3620272 3880064 4213507 7240544 8427014 14481088 16854028 28962176 31451113 33708056 62902226 67416112 125804452 134832224 251608904 269664448 503217808 539328896 1006435616 2012871232 4025742464 6858831571 13717663142 27435326284 54870652568 109741305136 219482610272 438965220544 877930441088 953377588369 1906755176738 3813510353476 7627020706952 15254041413904 30508082827808 61016165655616 122032331311232