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120342912 = 273793967
BaseRepresentation
bin1110010110001…
…00100110000000
322101110001102220
413023010212000
5221301433122
615535211040
72660616654
oct713044600
9271401386
10120342912
1161a26458
1234376a80
131bc17031
1411da8a64
15a87225c
hex72c4980

120342912 has 64 divisors (see below), whose sum is σ = 323788800. Its totient is φ = 39596544.

The previous prime is 120342851. The next prime is 120342917. The reversal of 120342912 is 219243021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120342917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28353 + ... + 32319.

It is an arithmetic number, because the mean of its divisors is an integer number (5059200).

Almost surely, 2120342912 is an apocalyptic number.

120342912 is a gapful number since it is divisible by the number (12) 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 120342912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161894400).

120342912 is an abundant number, since it is smaller than the sum of its proper divisors (203445888).

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

120342912 is an equidigital number, since it uses as much as digits as its factorization.

120342912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 120342912 is about 10970.0917042657. The cubic root of 120342912 is about 493.7117978882.

Adding to 120342912 its reverse (219243021), we get a palindrome (339585933).

The spelling of 120342912 in words is "one hundred twenty million, three hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 3967 5056 7584 7934 10112 11901 15168 15868 23802 30336 31736 47604 63472 95208 126944 190416 253888 313393 380832 507776 626786 761664 940179 1253572 1523328 1880358 2507144 3760716 5014288 7521432 10028576 15042864 20057152 30085728 40114304 60171456 120342912