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121437216 = 2532421657
BaseRepresentation
bin1110011110011…
…11110000100000
322110111122112200
413033033300200
5222041442331
620014453200
73003125235
oct717176040
9273448480
10121437216
116260363a
1234804200
131c20b154
14121b178c
15a9db5e6
hex73cfc20

121437216 has 36 divisors (see below), whose sum is σ = 345337902. Its totient is φ = 40478976.

The previous prime is 121437191. The next prime is 121437229. The reversal of 121437216 is 612734121.

121437216 is a `hidden beast` number, since 12 + 1 + 437 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84713616 + 36723600 = 9204^2 + 6060^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 121437216.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 210541 + ... + 211116.

Almost surely, 2121437216 is an apocalyptic number.

121437216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121437216 is an abundant number, since it is smaller than the sum of its proper divisors (223900686).

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

121437216 is a wasteful number, since it uses less digits than its factorization.

121437216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421673 (or 421662 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 121437216 is about 11019.8555344433. The cubic root of 121437216 is about 495.2037606186.

The spelling of 121437216 in words is "one hundred twenty-one million, four hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 421657 843314 1264971 1686628 2529942 3373256 3794913 5059884 6746512 7589826 10119768 13493024 15179652 20239536 30359304 40479072 60718608 121437216