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121051216 = 241113191277
BaseRepresentation
bin1110011011100…
…01100001010000
322102210001001101
413031301201100
5221442114331
620002314144
72666626666
oct715614120
9272701041
10121051216
116236a630
1234658954
131c104550
1412110c36
15a962061
hex7371850

121051216 has 80 divisors (see below), whose sum is σ = 277982208. Its totient is φ = 50342400.

The previous prime is 121051213. The next prime is 121051241. The reversal of 121051216 is 612150121.

It is a super-3 number, since 3×1210512163 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121051193 and 121051202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121051211) 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, 436870 + ... + 437146.

Almost surely, 2121051216 is an apocalyptic number.

121051216 is a gapful number since it is divisible by the number (16) 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 121051216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138991104).

121051216 is an abundant number, since it is smaller than the sum of its proper divisors (156930992).

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

121051216 is a wasteful number, since it uses less digits than its factorization.

121051216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 121051216 is about 11002.3277537074. The cubic root of 121051216 is about 494.6785192786.

The spelling of 121051216 in words is "one hundred twenty-one million, fifty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 191 208 277 286 382 554 572 764 1108 1144 1528 2101 2216 2288 2483 3047 3056 3601 4202 4432 4966 6094 7202 8404 9932 12188 14404 16808 19864 24376 27313 28808 33616 39611 39728 48752 52907 54626 57616 79222 105814 109252 158444 211628 218504 316888 423256 437008 581977 633776 687791 846512 1163954 1375582 2327908 2751164 4655816 5502328 7565701 9311632 11004656 15131402 30262804 60525608 121051216