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126216120 = 23352936269
BaseRepresentation
bin1111000010111…
…10011110111000
322210111102222010
413201132132320
5224302403440
620305125520
73061551012
oct741363670
9283442863
10126216120
1165278048
12363298a0
13201c23c4
1412a971b2
15b132580
hex785e7b8

126216120 has 64 divisors (see below), whose sum is σ = 391716000. Its totient is φ = 32496128.

The previous prime is 126216119. The next prime is 126216121. The reversal of 126216120 is 21612621.

It is an interprime number because it is at equal distance from previous prime (126216119) and next prime (126216121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126216121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14655 + ... + 21614.

Almost surely, 2126216120 is an apocalyptic number.

126216120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126216120 is an abundant number, since it is smaller than the sum of its proper divisors (265499880).

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

126216120 is a wasteful number, since it uses less digits than its factorization.

126216120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36312 (or 36308 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 126216120 is about 11234.5947857500. The cubic root of 126216120 is about 501.6162630910.

Adding to 126216120 its reverse (21612621), we get a palindrome (147828741).

The spelling of 126216120 in words is "one hundred twenty-six million, two hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 36269 72538 108807 145076 181345 217614 290152 362690 435228 544035 725380 870456 1051801 1088070 1450760 2103602 2176140 3155403 4207204 4352280 5259005 6310806 8414408 10518010 12621612 15777015 21036020 25243224 31554030 42072040 63108060 126216120