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122105040 = 2435508771
BaseRepresentation
bin1110100011100…
…10110011010000
322111202120121220
413101302303100
5222224330130
620041045040
73011606241
oct721626320
9274676556
10122105040
1162a1a362
1234a86780
131c3b3105
1412306cc8
15aabe410
hex7472cd0

122105040 has 40 divisors (see below), whose sum is σ = 378526368. Its totient is φ = 32561280.

The previous prime is 122105017. The next prime is 122105041. The reversal of 122105040 is 40501221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122105041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254146 + ... + 254625.

Almost surely, 2122105040 is an apocalyptic number.

122105040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122105040 is an abundant number, since it is smaller than the sum of its proper divisors (256421328).

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

122105040 is a wasteful number, since it uses less digits than its factorization.

122105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508787 (or 508781 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 122105040 is about 11050.1149315290. The cubic root of 122105040 is about 496.1098655343.

Adding to 122105040 its reverse (40501221), we get a palindrome (162606261).

The spelling of 122105040 in words is "one hundred twenty-two million, one hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 508771 1017542 1526313 2035084 2543855 3052626 4070168 5087710 6105252 7631565 8140336 10175420 12210504 15263130 20350840 24421008 30526260 40701680 61052520 122105040