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122063328 = 2533141277
BaseRepresentation
bin1110100011010…
…00100111100000
322111200110102000
413101220213200
5222222011303
620040124000
73011343522
oct721504740
9274613360
10122063328
11629a0a92
1234a66600
131c39a12a
14122d5a12
15aab1da3
hex74689e0

122063328 has 48 divisors (see below), whose sum is σ = 356020560. Its totient is φ = 40687488.

The previous prime is 122063321. The next prime is 122063339. The reversal of 122063328 is 823360221.

122063328 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 633 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122063321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69775 + ... + 71502.

It is an arithmetic number, because the mean of its divisors is an integer number (7417095).

Almost surely, 2122063328 is an apocalyptic number.

122063328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122063328 is an abundant number, since it is smaller than the sum of its proper divisors (233957232).

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

122063328 is a wasteful number, since it uses less digits than its factorization.

122063328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141296 (or 141282 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 122063328 is about 11048.2273691303. The cubic root of 122063328 is about 496.0533674800.

The spelling of 122063328 in words is "one hundred twenty-two million, sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 141277 282554 423831 565108 847662 1130216 1271493 1695324 2260432 2542986 3390648 3814479 4520864 5085972 6781296 7628958 10171944 13562592 15257916 20343888 30515832 40687776 61031664 122063328