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122443155012234 = 2375326728975347
BaseRepresentation
bin11011110101110010000100…
…110000100111101010001010
3121001112110011222222000112210
4123311302010300213222022
5112022102040140342414
61112225335303445550
734535140345143360
oct3365620460475212
9531473158860483
10122443155012234
1136017939a10861
1211896378a568b6
135342455bcb574
1422343cd2c7630
15e250629c6e59
hex6f5c84c27a8a

122443155012234 has 192 divisors, whose sum is σ = 289661832262656. Its totient is φ = 33793401388032.

The previous prime is 122443155012197. The next prime is 122443155012239. The reversal of 122443155012234 is 432210551344221.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122443155012192 and 122443155012201.

It is not an unprimeable number, because it can be changed into a prime (122443155012239) 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 95 ways as a sum of consecutive naturals, for example, 22899409149 + ... + 22899414495.

It is an arithmetic number, because the mean of its divisors is an integer number (1508655376368).

Almost surely, 2122443155012234 is an apocalyptic number.

122443155012234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122443155012234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144830916131328).

122443155012234 is an abundant number, since it is smaller than the sum of its proper divisors (167218677250422).

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

122443155012234 is a wasteful number, since it uses less digits than its factorization.

122443155012234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8429 (or 8376 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 122443155012234 in words is "one hundred twenty-two trillion, four hundred forty-three billion, one hundred fifty-five million, twelve thousand, two hundred thirty-four".