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1212135240 = 233533130517
BaseRepresentation
bin100100000111111…
…1011011101001000
310010110211211221210
41020033323131020
54440301311430
6320140133120
742015656661
oct11017733510
93113754853
101212135240
11572245168
12299b371a0
13164182bb4
14b6dac368
15716362b0
hex483fb748

1212135240 has 64 divisors (see below), whose sum is σ = 3647511360. Its totient is φ = 322248960.

The previous prime is 1212135203. The next prime is 1212135317. The reversal of 1212135240 is 425312121.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24462 + ... + 54978.

It is an arithmetic number, because the mean of its divisors is an integer number (56992365).

Almost surely, 21212135240 is an apocalyptic number.

1212135240 is a gapful number since it is divisible by the number (10) 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 1212135240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823755680).

1212135240 is an abundant number, since it is smaller than the sum of its proper divisors (2435376120).

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

1212135240 is a wasteful number, since it uses less digits than its factorization.

1212135240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30862 (or 30858 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1212135240 is about 34815.7326506279. The cubic root of 1212135240 is about 1066.2286773845.

Adding to 1212135240 its reverse (425312121), we get a palindrome (1637447361).

The spelling of 1212135240 in words is "one billion, two hundred twelve million, one hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 662 993 1324 1655 1986 2648 3310 3972 4965 6620 7944 9930 13240 19860 30517 39720 61034 91551 122068 152585 183102 244136 305170 366204 457755 610340 732408 915510 1220680 1831020 3662040 10101127 20202254 30303381 40404508 50505635 60606762 80809016 101011270 121213524 151516905 202022540 242427048 303033810 404045080 606067620 1212135240