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122060640 = 25351331631
BaseRepresentation
bin1110100011001…
…11111101100000
322111200022201110
413101213331200
5222221420030
620040103320
73011332632
oct721477540
9274608643
10122060640
1162999a69
1234a64b40
131c398b40
14122d4a52
15aab11b0
hex7467f60

122060640 has 192 divisors, whose sum is σ = 428101632. Its totient is φ = 29030400.

The previous prime is 122060569. The next prime is 122060641. The reversal of 122060640 is 46060221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122060641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193125 + ... + 193755.

It is an arithmetic number, because the mean of its divisors is an integer number (2229696).

Almost surely, 2122060640 is an apocalyptic number.

122060640 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 122060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214050816).

122060640 is an abundant number, since it is smaller than the sum of its proper divisors (306040992).

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

122060640 is a wasteful number, since it uses less digits than its factorization.

122060640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 122060640 is about 11048.1057199866. The cubic root of 122060640 is about 496.0497261974.

The spelling of 122060640 in words is "one hundred twenty-two million, sixty thousand, six hundred forty".