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1252142112 = 253134323333
BaseRepresentation
bin100101010100010…
…0010110000100000
310020021010102001210
41022220202300200
510031022021422
6324125430120
743013014044
oct11250426040
93207112053
101252142112
1159288a9a1
122ab40b340
1316c54c8c0
14bc424024
1574dda10c
hex4aa22c20

1252142112 has 96 divisors (see below), whose sum is σ = 3622183488. Its totient is φ = 376298496.

The previous prime is 1252142107. The next prime is 1252142113. The reversal of 1252142112 is 2112412521.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1252142113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41998 + ... + 65330.

It is an arithmetic number, because the mean of its divisors is an integer number (37731078).

Almost surely, 21252142112 is an apocalyptic number.

1252142112 is a gapful number since it is divisible by the number (12) 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 1252142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811091744).

1252142112 is an abundant number, since it is smaller than the sum of its proper divisors (2370041376).

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

1252142112 is a wasteful number, since it uses less digits than its factorization.

1252142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23402 (or 23394 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 1252142112 is about 35385.6201302167. The cubic root of 1252142112 is about 1077.8323325707.

Adding to 1252142112 its reverse (2112412521), we get a palindrome (3364554633).

The spelling of 1252142112 in words is "one billion, two hundred fifty-two million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 172 208 258 312 344 416 516 559 624 688 1032 1118 1248 1376 1677 2064 2236 3354 4128 4472 6708 8944 13416 17888 23333 26832 46666 53664 69999 93332 139998 186664 279996 303329 373328 559992 606658 746656 909987 1003319 1119984 1213316 1819974 2006638 2239968 2426632 3009957 3639948 4013276 4853264 6019914 7279896 8026552 9706528 12039828 13043147 14559792 16053104 24079656 26086294 29119584 32106208 39129441 48159312 52172588 78258882 96318624 104345176 156517764 208690352 313035528 417380704 626071056 1252142112