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122003120 = 2451525039
BaseRepresentation
bin1110100010110…
…01111010110000
322111120101211002
413101121322300
5222213044440
620034541132
73011003141
oct721317260
9274511732
10122003120
116295a828
1234a377a8
131c3788c5
14122bbac8
15aa9e115
hex7459eb0

122003120 has 20 divisors (see below), whose sum is σ = 283657440. Its totient is φ = 48801216.

The previous prime is 122003113. The next prime is 122003129. The reversal of 122003120 is 21300221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1220031202 = 29769522579468800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122003129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 762440 + ... + 762599.

It is an arithmetic number, because the mean of its divisors is an integer number (14182872).

Almost surely, 2122003120 is an apocalyptic number.

122003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122003120 is an abundant number, since it is smaller than the sum of its proper divisors (161654320).

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

122003120 is a wasteful number, since it uses less digits than its factorization.

122003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525052 (or 1525046 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 122003120 is about 11045.5022520481. The cubic root of 122003120 is about 495.9717942684.

Adding to 122003120 its reverse (21300221), we get a palindrome (143303341).

The spelling of 122003120 in words is "one hundred twenty-two million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1525039 3050078 6100156 7625195 12200312 15250390 24400624 30500780 61001560 122003120