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122401008 = 24322413527
BaseRepresentation
bin1110100101110…
…11000011110000
322112022121121200
413102323003300
5222313313013
620051251200
73014251152
oct722730360
9275277550
10122401008
1163101764
1234ba9b00
131c487a42
1412382ad2
15ab2be73
hex74bb0f0

122401008 has 60 divisors (see below), whose sum is σ = 344071728. Its totient is φ = 40619520.

The previous prime is 122401007. The next prime is 122401039. The reversal of 122401008 is 800104221.

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 (122401007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32941 + ... + 36467.

Almost surely, 2122401008 is an apocalyptic number.

122401008 is a gapful number since it is divisible by the number (18) 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 122401008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172035864).

122401008 is an abundant number, since it is smaller than the sum of its proper divisors (221670720).

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

122401008 is a wasteful number, since it uses less digits than its factorization.

122401008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 122401008 is about 11063.4989040538. The cubic root of 122401008 is about 496.5103790847.

Adding to 122401008 its reverse (800104221), we get a palindrome (922505229).

The spelling of 122401008 in words is "one hundred twenty-two million, four hundred one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 241 482 723 964 1446 1928 2169 2892 3527 3856 4338 5784 7054 8676 10581 11568 14108 17352 21162 28216 31743 34704 42324 56432 63486 84648 126972 169296 253944 507888 850007 1700014 2550021 3400028 5100042 6800056 7650063 10200084 13600112 15300126 20400168 30600252 40800336 61200504 122401008