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122134348176481 = 7332150772
BaseRepresentation
bin11011110001010010011110…
…011100000001110001100001
3121000102221002201102101022201
4123301102132130001301201
5112002022121113121411
61111431424525333201
734503626001304024
oct3361223634016141
9530387081371281
10122134348176481
1135a08982567503
1211846556107201
13531c2b1652454
1422234966931bb
15e1bedc0953c1
hex6f149e701c61

122134348176481 has 9 divisors (see below), whose sum is σ = 122309310379161. Its totient is φ = 121959635945712.

The previous prime is 122134348176479. The next prime is 122134348176487. The reversal of 122134348176481 is 184671843431221.

It is a happy number.

The square root of 122134348176481 is 11051441.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 76928014881 + 122057420161600 = 277359^2 + 11047960^2 .

It is not a de Polignac number, because 122134348176481 - 21 = 122134348176479 is a prime.

It is a super-2 number, since 2×1221343481764812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122134348176487) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8100698715 + ... + 8100713791.

Almost surely, 2122134348176481 is an apocalyptic number.

122134348176481 is the 11051441-st square number.

122134348176481 is the 5525721-st centered octagonal number.

It is an amenable number.

122134348176481 is a deficient number, since it is larger than the sum of its proper divisors (174962202680).

122134348176481 is an frugal number, since it uses more digits than its factorization.

122134348176481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31620 (or 15810 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 55.

The spelling of 122134348176481 in words is "one hundred twenty-two trillion, one hundred thirty-four billion, three hundred forty-eight million, one hundred seventy-six thousand, four hundred eighty-one".

Divisors: 1 733 15077 537289 11051441 227315929 8100706253 166622575957 122134348176481