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121522016 = 25711149331
BaseRepresentation
bin1110011111001…
…00011101100000
322110122221212102
413033210131200
5222102201031
620020345532
73003630410
oct717443540
9273587772
10121522016
1162661320
12348452a8
131c23a925
14121d4640
15aa067cb
hex73e4760

121522016 has 96 divisors (see below), whose sum is σ = 301190400. Its totient is φ = 46886400.

The previous prime is 121522013. The next prime is 121522021. The reversal of 121522016 is 610225121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121522013) 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, 366971 + ... + 367301.

It is an arithmetic number, because the mean of its divisors is an integer number (3137400).

Almost surely, 2121522016 is an apocalyptic number.

121522016 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 121522016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150595200).

121522016 is an abundant number, since it is smaller than the sum of its proper divisors (179668384).

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

121522016 is a wasteful number, since it uses less digits than its factorization.

121522016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 121522016 is about 11023.7024633287. The cubic root of 121522016 is about 495.3190012601.

Adding to 121522016 its reverse (610225121), we get a palindrome (731747137).

The spelling of 121522016 in words is "one hundred twenty-one million, five hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 149 154 176 224 298 308 331 352 596 616 662 1043 1192 1232 1324 1639 2086 2317 2384 2464 2648 3278 3641 4172 4634 4768 5296 6556 7282 8344 9268 10592 11473 13112 14564 16688 18536 22946 25487 26224 29128 33376 37072 45892 49319 50974 52448 58256 74144 91784 98638 101948 116512 183568 197276 203896 345233 367136 394552 407792 542509 690466 789104 815584 1085018 1380932 1578208 2170036 2761864 3797563 4340072 5523728 7595126 8680144 11047456 15190252 17360288 30380504 60761008 121522016