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123215040 = 26335131097
BaseRepresentation
bin1110101100000…
…01110011000000
322120211222021000
413112001303000
5223020340130
620120532000
73024211344
oct726016300
9276758230
10123215040
1163608313
1235321000
131c6b1410
1412515624
15ac3d260
hex7581cc0

123215040 has 224 divisors, whose sum is σ = 468538560. Its totient is φ = 30302208.

The previous prime is 123215011. The next prime is 123215041. The reversal of 123215040 is 40512321.

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

It is not an unprimeable number, because it can be changed into a prime (123215041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111772 + ... + 112868.

It is an arithmetic number, because the mean of its divisors is an integer number (2091690).

Almost surely, 2123215040 is an apocalyptic number.

123215040 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 123215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234269280).

123215040 is an abundant number, since it is smaller than the sum of its proper divisors (345323520).

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

123215040 is a wasteful number, since it uses less digits than its factorization.

123215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 123215040 is about 11100.2270247054. The cubic root of 123215040 is about 497.6086343074.

Adding to 123215040 its reverse (40512321), we get a palindrome (163727361).

The spelling of 123215040 in words is "one hundred twenty-three million, two hundred fifteen thousand, forty".