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122133040 = 2451917993
BaseRepresentation
bin1110100011110…
…01101000110000
322111211000000221
413101321220300
5222231224130
620041422424
73012054001
oct721715060
9274730027
10122133040
1162a393a7
1234a9aa14
131c3c2a93
14123131a8
15aac787a
hex7479a30

122133040 has 40 divisors (see below), whose sum is σ = 285481728. Its totient is φ = 48591360.

The previous prime is 122133019. The next prime is 122133047. The reversal of 122133040 is 40331221.

It is a happy number.

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 (16).

It is not an unprimeable number, because it can be changed into a prime (122133047) 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, 11284 + ... + 19276.

Almost surely, 2122133040 is an apocalyptic number.

122133040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122133040 is an abundant number, since it is smaller than the sum of its proper divisors (163348688).

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

122133040 is a wasteful number, since it uses less digits than its factorization.

122133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8197 (or 8191 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 122133040 is about 11051.3818140538. The cubic root of 122133040 is about 496.1477837469.

Adding to 122133040 its reverse (40331221), we get a palindrome (162464261).

The spelling of 122133040 in words is "one hundred twenty-two million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 191 382 764 955 1528 1910 3056 3820 7640 7993 15280 15986 31972 39965 63944 79930 127888 159860 319720 639440 1526663 3053326 6106652 7633315 12213304 15266630 24426608 30533260 61066520 122133040