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121052411334 = 2343133536763
BaseRepresentation
bin111000010111101001…
…0010011010111000110
3102120110100110122110000
41300233102103113012
53440403404130314
6131335525142130
711513535343011
oct1605722232706
9376410418400
10121052411334
1147379a26358
121b56425a946
13b55224537a
145c05018378
15323758b209
hex1c2f4935c6

121052411334 has 80 divisors (see below), whose sum is σ = 272924883792. Its totient is φ = 40102013952.

The previous prime is 121052411281. The next prime is 121052411353. The reversal of 121052411334 is 433114250121.

121052411334 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 524 + 1 + 133 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121052411298 and 121052411307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17895837 + ... + 17902599.

Almost surely, 2121052411334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121052411334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136462441896).

121052411334 is an abundant number, since it is smaller than the sum of its proper divisors (151872472458).

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

121052411334 is a wasteful number, since it uses less digits than its factorization.

121052411334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7443 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 121052411334 its reverse (433114250121), we get a palindrome (554166661455).

The spelling of 121052411334 in words is "one hundred twenty-one billion, fifty-two million, four hundred eleven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 313 353 626 706 939 1059 1878 2118 2817 3177 5634 6354 6763 8451 9531 13526 16902 19062 20289 25353 28593 40578 50706 57186 60867 110489 121734 182601 220978 331467 365202 547803 662934 994401 1095606 1988802 2116819 2387339 2983203 4233638 4774678 5966406 6350457 7162017 8949609 12700914 14324034 17899218 19051371 21486051 38102742 42972102 57154113 64458153 114308226 128916306 171462339 193374459 342924678 386748918 747237107 1494474214 2241711321 4483422642 6725133963 13450267926 20175401889 40350803778 60526205667 121052411334