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122541016 = 231331191199
BaseRepresentation
bin1110100110111…
…01001111011000
322112120201200011
413103131033120
5222332303031
620054251304
73015403303
oct723351730
9275521604
10122541016
1163197974
1235056b34
131c5066a0
14123bbb3a
15ab586b1
hex74dd3d8

122541016 has 64 divisors (see below), whose sum is σ = 258048000. Its totient is φ = 54172800.

The previous prime is 122541007. The next prime is 122541017. The reversal of 122541016 is 610145221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122541017) 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, 615685 + ... + 615883.

It is an arithmetic number, because the mean of its divisors is an integer number (4032000).

Almost surely, 2122541016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122541016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129024000).

122541016 is an abundant number, since it is smaller than the sum of its proper divisors (135506984).

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

122541016 is a wasteful number, since it uses less digits than its factorization.

122541016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 122541016 is about 11069.8245695223. The cubic root of 122541016 is about 496.6996175507.

Adding to 122541016 its reverse (610145221), we get a palindrome (732686237).

The spelling of 122541016 in words is "one hundred twenty-two million, five hundred forty-one thousand, sixteen".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 191 199 248 382 398 403 764 796 806 1528 1592 1612 2483 2587 3224 4966 5174 5921 6169 9932 10348 11842 12338 19864 20696 23684 24676 38009 47368 49352 76018 76973 80197 152036 153946 160394 304072 307892 320788 494117 615784 641576 988234 1178279 1976468 2356558 3952936 4713116 9426232 15317627 30635254 61270508 122541016