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121442016 = 2531774413
BaseRepresentation
bin1110011110100…
…00111011100000
322110111220010110
413033100323200
5222042121031
620014531320
73003145233
oct717207340
9273456113
10121442016
1162607203
1234806b40
131c2103a7
14121b341a
15a9dcc46
hex73d0ee0

121442016 has 48 divisors (see below), whose sum is σ = 337541904. Its totient is φ = 38098944.

The previous prime is 121442011. The next prime is 121442051. The reversal of 121442016 is 610244121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 121441983 and 121442001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121442011) 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, 35575 + ... + 38838.

It is an arithmetic number, because the mean of its divisors is an integer number (7032123).

Almost surely, 2121442016 is an apocalyptic number.

121442016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121442016 is an abundant number, since it is smaller than the sum of its proper divisors (216099888).

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

121442016 is a wasteful number, since it uses less digits than its factorization.

121442016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74443 (or 74435 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 121442016 is about 11020.0733209902. The cubic root of 121442016 is about 495.2102851060.

Adding to 121442016 its reverse (610244121), we get a palindrome (731686137).

The spelling of 121442016 in words is "one hundred twenty-one million, four hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 74413 148826 223239 297652 446478 595304 892956 1190608 1265021 1785912 2381216 2530042 3571824 3795063 5060084 7143648 7590126 10120168 15180252 20240336 30360504 40480672 60721008 121442016