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122024140 = 22571276863
BaseRepresentation
bin1110100010111…
…11000011001100
322111121110122121
413101133003030
5222214233030
620035222324
73011121340
oct721370314
9274543577
10122024140
11629745a7
1234a479a4
131c385344
14122c5620
15aaa547a
hex745f0cc

122024140 has 48 divisors (see below), whose sum is σ = 295206912. Its totient is φ = 41501376.

The previous prime is 122024129. The next prime is 122024167. The reversal of 122024140 is 41420221.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14349 + ... + 21211.

It is an arithmetic number, because the mean of its divisors is an integer number (6150144).

Almost surely, 2122024140 is an apocalyptic number.

122024140 is a gapful number since it is divisible by the number (10) 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 122024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147603456).

122024140 is an abundant number, since it is smaller than the sum of its proper divisors (173182772).

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

122024140 is a wasteful number, since it uses less digits than its factorization.

122024140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7006 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 122024140 is about 11046.4537295912. The cubic root of 122024140 is about 496.0002764046. Note that the first 3 decimals are identical.

Adding to 122024140 its reverse (41420221), we get a palindrome (163444361).

The spelling of 122024140 in words is "one hundred twenty-two million, twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 254 508 635 889 1270 1778 2540 3556 4445 6863 8890 13726 17780 27452 34315 48041 68630 96082 137260 192164 240205 480410 871601 960820 1743202 3486404 4358005 6101207 8716010 12202414 17432020 24404828 30506035 61012070 122024140