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122010144 = 2538091571
BaseRepresentation
bin1110100010110…
…11101000100000
322111120202110020
413101123220200
5222213311034
620035033440
73011032464
oct721335040
9274522406
10122010144
1162965033
1234a3b880
131c37bb69
14122c04a4
15aaa1249
hex745ba20

122010144 has 48 divisors (see below), whose sum is σ = 320876640. Its totient is φ = 40593920.

The previous prime is 122010113. The next prime is 122010151. The reversal of 122010144 is 441010221.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76879 + ... + 78449.

It is an arithmetic number, because the mean of its divisors is an integer number (6684930).

Almost surely, 2122010144 is an apocalyptic number.

It is an amenable number.

122010144 is an abundant number, since it is smaller than the sum of its proper divisors (198866496).

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

122010144 is a wasteful number, since it uses less digits than its factorization.

122010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 122010144 is about 11045.8202049463. The cubic root of 122010144 is about 495.9813121644.

Adding to 122010144 its reverse (441010221), we get a palindrome (563020365).

The spelling of 122010144 in words is "one hundred twenty-two million, ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 809 1571 1618 2427 3142 3236 4713 4854 6284 6472 9426 9708 12568 12944 18852 19416 25136 25888 37704 38832 50272 75408 77664 150816 1270939 2541878 3812817 5083756 7625634 10167512 15251268 20335024 30502536 40670048 61005072 122010144