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126216012340 = 22511252155377
BaseRepresentation
bin111010110001100001…
…1111000001000110100
3110001210012200202101201
41311203003320020310
54031442244343330
6133552143102244
712055515255235
oct1654303701064
9401705622351
10126216012340
1149589715200
12205655a1984
13bb95c55792
146174b0508c
15343aa5beca
hex1d630f8234

126216012340 has 36 divisors (see below), whose sum is σ = 291339941508. Its totient is φ = 45896730880.

The previous prime is 126216012233. The next prime is 126216012341. The reversal of 126216012340 is 43210612621.

It can be written as a sum of positive squares in 2 ways, for example, as 66130236964 + 60085775376 = 257158^2 + 245124^2 .

It is a super-2 number, since 2×1262160123402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126216012299 and 126216012308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126216012341) 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 11 ways as a sum of consecutive naturals, for example, 26075269 + ... + 26080108.

It is an arithmetic number, because the mean of its divisors is an integer number (8092776153).

Almost surely, 2126216012340 is an apocalyptic number.

126216012340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126216012340 is an abundant number, since it is smaller than the sum of its proper divisors (165123929168).

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

126216012340 is a wasteful number, since it uses less digits than its factorization.

126216012340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52155408 (or 52155395 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 126216012340 its reverse (43210612621), we get a palindrome (169426624961).

The spelling of 126216012340 in words is "one hundred twenty-six billion, two hundred sixteen million, twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 52155377 104310754 208621508 260776885 521553770 573709147 1043107540 1147418294 2294836588 2868545735 5737091470 6310800617 11474182940 12621601234 25243202468 31554003085 63108006170 126216012340