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11241212000 = 25532996907
BaseRepresentation
bin10100111100000011…
…10100100001100000
31002000102022201220012
422132001310201200
5141010222241000
65055242104052
7545365503554
oct123601644140
932012281805
1011241212000
114849409a57
1222187ab028
1310a1bb1045
14788d3d864
1545bd39735
hex29e074860

11241212000 has 96 divisors (see below), whose sum is σ = 28572354720. Its totient is φ = 4341388800.

The previous prime is 11241211997. The next prime is 11241212053. The reversal of 11241212000 is 21214211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 67547 + ... + 164453.

It is an arithmetic number, because the mean of its divisors is an integer number (297628695).

Almost surely, 211241212000 is an apocalyptic number.

11241212000 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 11241212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14286177360).

11241212000 is an abundant number, since it is smaller than the sum of its proper divisors (17331142720).

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

11241212000 is an equidigital number, since it uses as much as digits as its factorization.

11241212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96961 (or 96943 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11241212000 its reverse (21214211), we get a palindrome (11262426211).

The spelling of 11241212000 in words is "eleven billion, two hundred forty-one million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 14500 23200 29000 58000 96907 116000 193814 387628 484535 775256 969070 1550512 1938140 2422675 2810303 3101024 3876280 4845350 5620606 7752560 9690700 11241212 12113375 14051515 15505120 19381400 22482424 24226750 28103030 38762800 44964848 48453500 56206060 70257575 77525600 89929696 96907000 112412120 140515150 193814000 224824240 281030300 351287875 387628000 449648480 562060600 702575750 1124121200 1405151500 2248242400 2810303000 5620606000 11241212000