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122401224 = 233211179091
BaseRepresentation
bin1110100101110…
…11000111001000
322112022121220200
413102323013020
5222313314344
620051252200
73014251611
oct722730710
9275277820
10122401224
1163101940
1234baa060
131c487b7a
1412382c08
15ab2c069
hex74bb1c8

122401224 has 96 divisors (see below), whose sum is σ = 382955040. Its totient is φ = 34905600.

The previous prime is 122401219. The next prime is 122401229. The reversal of 122401224 is 422104221.

It is an interprime number because it is at equal distance from previous prime (122401219) and next prime (122401229).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122401197 and 122401206.

It is not an unprimeable number, because it can be changed into a prime (122401229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8919 + ... + 18009.

It is an arithmetic number, because the mean of its divisors is an integer number (3989115).

Almost surely, 2122401224 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 122401224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191477520).

122401224 is an abundant number, since it is smaller than the sum of its proper divisors (260553816).

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

122401224 is a wasteful number, since it uses less digits than its factorization.

122401224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9131 (or 9124 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 122401224 is about 11063.5086658799. The cubic root of 122401224 is about 496.5106711470.

Adding to 122401224 its reverse (422104221), we get a palindrome (544505445).

The spelling of 122401224 in words is "one hundred twenty-two million, four hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 748 792 1122 1224 1496 1683 2244 3366 4488 6732 9091 13464 18182 27273 36364 54546 72728 81819 100001 109092 154547 163638 200002 218184 300003 309094 327276 400004 463641 600006 618188 654552 800008 900009 927282 1200012 1236376 1390923 1700017 1800018 1854564 2400024 2781846 3400034 3600036 3709128 5100051 5563692 6800068 7200072 10200102 11127384 13600136 15300153 20400204 30600306 40800408 61200612 122401224