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122075507316 = 22372431481697
BaseRepresentation
bin111000110110001000…
…1000110101001110100
3102200002122121022021210
41301230101012221310
54000002312213231
6132025233441420
711551100456100
oct1615421065164
9380078538253
10122075507316
1147854494524
121b7aaa10270
13b6861aabc9
145ca0c58900
1532972d0a46
hex1c6c446a74

122075507316 has 72 divisors (see below), whose sum is σ = 332117283456. Its totient is φ = 34797719040.

The previous prime is 122075507311. The next prime is 122075507329. The reversal of 122075507316 is 613705570221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122075507311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12580 + ... + 494276.

It is an arithmetic number, because the mean of its divisors is an integer number (4612740048).

Almost surely, 2122075507316 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 122075507316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166058641728).

122075507316 is an abundant number, since it is smaller than the sum of its proper divisors (210041776140).

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

122075507316 is a wasteful number, since it uses less digits than its factorization.

122075507316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482149 (or 482140 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 122075507316 in words is "one hundred twenty-two billion, seventy-five million, five hundred seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 431 588 862 1293 1724 2586 3017 5172 6034 9051 12068 18102 21119 36204 42238 63357 84476 126714 253428 481697 963394 1445091 1926788 2890182 3371879 5780364 6743758 10115637 13487516 20231274 23603153 40462548 47206306 70809459 94412612 141618918 207611407 283237836 415222814 622834221 830445628 1245668442 1453279849 2491336884 2906559698 4359839547 5813119396 8719679094 10172958943 17439358188 20345917886 30518876829 40691835772 61037753658 122075507316