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122311143350112 = 2531388299177293
BaseRepresentation
bin11011110011110111001000…
…010000000101111101100000
3121001001211102212201202021110
4123303313020100011331200
5112012421210144200422
61112044544043423320
734522455103423023
oct3363671020057540
9531054385652243
10122311143350112
1135a7695685a152
1211874876524b40
135332b78328422
14222bc689a91ba
15e218d824a60c
hex6f3dc8405f60

122311143350112 has 48 divisors (see below), whose sum is σ = 321069098957040. Its totient is φ = 40770083000832.

The previous prime is 122311143350059. The next prime is 122311143350117. The reversal of 122311143350112 is 211053341113221.

It is a happy number.

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

It is a super-2 number, since 2×1223111433501122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122311143350112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122311143350117) 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, 8738938 + ... + 17916230.

It is an arithmetic number, because the mean of its divisors is an integer number (6688939561605).

Almost surely, 2122311143350112 is an apocalyptic number.

122311143350112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122311143350112 is an abundant number, since it is smaller than the sum of its proper divisors (198757955606928).

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

122311143350112 is a wasteful number, since it uses less digits than its factorization.

122311143350112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9316135 (or 9316127 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 122311143350112 its reverse (211053341113221), we get a palindrome (333364484463333).

The spelling of 122311143350112 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred forty-three million, three hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 138829 277658 416487 555316 832974 1110632 1665948 2221264 3331896 4442528 6663792 9177293 13327584 18354586 27531879 36709172 55063758 73418344 110127516 146836688 220255032 293673376 440510064 881020128 1274074409897 2548148819794 3822223229691 5096297639588 7644446459382 10192595279176 15288892918764 20385190558352 30577785837528 40770381116704 61155571675056 122311143350112