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122420700 = 22335245341
BaseRepresentation
bin1110100101111…
…11110111011100
322112100121122000
413102333313130
5222314430300
620051522300
73014362443
oct722776734
9275317560
10122420700
1163115536
1234bb9390
131c4939ac
1412389d5a
15ab32c00
hex74bfddc

122420700 has 72 divisors (see below), whose sum is σ = 393568560. Its totient is φ = 32644800.

The previous prime is 122420671. The next prime is 122420707. The reversal of 122420700 is 7024221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122420707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19971 + ... + 25370.

It is an arithmetic number, because the mean of its divisors is an integer number (5466230).

Almost surely, 2122420700 is an apocalyptic number.

122420700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122420700 is an abundant number, since it is smaller than the sum of its proper divisors (271147860).

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

122420700 is a wasteful number, since it uses less digits than its factorization.

122420700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45364 (or 45351 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 122420700 is about 11064.3888218012. The cubic root of 122420700 is about 496.5370040236.

Adding to 122420700 its reverse (7024221), we get a palindrome (129444921).

The spelling of 122420700 in words is "one hundred twenty-two million, four hundred twenty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 45341 90682 136023 181364 226705 272046 408069 453410 544092 680115 816138 906820 1133525 1224207 1360230 1632276 2040345 2267050 2448414 2720460 3400575 4080690 4534100 4896828 6121035 6801150 8161380 10201725 12242070 13602300 20403450 24484140 30605175 40806900 61210350 122420700