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129012120 = 233252411487
BaseRepresentation
bin1111011000010…
…01000110011000
322222202111100200
413230021012120
5231011341440
620445102200
73124404426
oct754110630
9288674320
10129012120
1166907796
1237257960
1320960c43
14131c4116
15b4d5c30
hex7b09198

129012120 has 96 divisors (see below), whose sum is σ = 421312320. Its totient is φ = 34237440.

The previous prime is 129012119. The next prime is 129012127. The reversal of 129012120 is 21210921.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 129012093 and 129012102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129012127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86017 + ... + 87503.

It is an arithmetic number, because the mean of its divisors is an integer number (4388670).

Almost surely, 2129012120 is an apocalyptic number.

129012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210656160).

129012120 is an abundant number, since it is smaller than the sum of its proper divisors (292300200).

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

129012120 is a wasteful number, since it uses less digits than its factorization.

129012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 129012120 is about 11358.3502323181. The cubic root of 129012120 is about 505.2932584178.

The spelling of 129012120 in words is "one hundred twenty-nine million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 241 360 482 723 964 1205 1446 1487 1928 2169 2410 2892 2974 3615 4338 4461 4820 5784 5948 7230 7435 8676 8922 9640 10845 11896 13383 14460 14870 17352 17844 21690 22305 26766 28920 29740 35688 43380 44610 53532 59480 66915 86760 89220 107064 133830 178440 267660 358367 535320 716734 1075101 1433468 1791835 2150202 2866936 3225303 3583670 4300404 5375505 6450606 7167340 8600808 10751010 12901212 14334680 16126515 21502020 25802424 32253030 43004040 64506060 129012120