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120022104 = 23353157601
BaseRepresentation
bin1110010011101…
…10010001011000
322100211202101010
413021312101120
5221211201404
615524253520
72655112446
oct711662130
9270752333
10120022104
1161827424
12342412a0
131bb33cc7
1411d23b96
15a80c189
hex7276458

120022104 has 64 divisors (see below), whose sum is σ = 308175840. Its totient is φ = 38937600.

The previous prime is 120022103. The next prime is 120022127. The reversal of 120022104 is 401220021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 120022104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120022103) 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 15 ways as a sum of consecutive naturals, for example, 199404 + ... + 200004.

Almost surely, 2120022104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120022104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154087920).

120022104 is an abundant number, since it is smaller than the sum of its proper divisors (188153736).

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

120022104 is a wasteful number, since it uses less digits than its factorization.

120022104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 120022104 is about 10955.4600085985. The cubic root of 120022104 is about 493.2726980911.

Adding to 120022104 its reverse (401220021), we get a palindrome (521242125).

The spelling of 120022104 in words is "one hundred twenty million, twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 53 106 157 159 212 314 318 424 471 601 628 636 942 1202 1256 1272 1803 1884 2404 3606 3768 4808 7212 8321 14424 16642 24963 31853 33284 49926 63706 66568 94357 95559 99852 127412 188714 191118 199704 254824 283071 377428 382236 566142 754856 764472 1132284 2264568 5000921 10001842 15002763 20003684 30005526 40007368 60011052 120022104