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11212000212 = 2237477338903
BaseRepresentation
bin10100111000100100…
…11000101111010100
31001221101100121212010
422130102120233110
5140430233001322
65052320024220
7544562300160
oct123422305724
931841317763
1011212000212
114833977786
12220aa62070
131098b23a6a
147850d7ca0
154594b920c
hex29c498bd4

11212000212 has 96 divisors (see below), whose sum is σ = 30953889792. Its totient is φ = 3092242176.

The previous prime is 11212000201. The next prime is 11212000307. The reversal of 11212000212 is 21200021211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268753 + ... + 307655.

It is an arithmetic number, because the mean of its divisors is an integer number (322436352).

Almost surely, 211212000212 is an apocalyptic number.

11212000212 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 11212000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15476944896).

11212000212 is an abundant number, since it is smaller than the sum of its proper divisors (19741889580).

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

11212000212 is a wasteful number, since it uses less digits than its factorization.

11212000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39037 (or 39035 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11212000212 its reverse (21200021211), we get a palindrome (32412021423).

It can be divided in two parts, 11 and 212000212, that multiplied together give a palindrome (2332002332).

The spelling of 11212000212 in words is "eleven billion, two hundred twelve million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 73 84 94 141 146 188 219 282 292 329 438 511 564 658 876 987 1022 1316 1533 1974 2044 3066 3431 3948 6132 6862 10293 13724 20586 24017 38903 41172 48034 72051 77806 96068 116709 144102 155612 233418 272321 288204 466836 544642 816963 1089284 1633926 1828441 2839919 3267852 3656882 5485323 5679838 7313764 8519757 10970646 11359676 12799087 17039514 19879433 21941292 25598174 34079028 38397261 39758866 51196348 59638299 76794522 79517732 119276598 133476193 153589044 238553196 266952386 400428579 533904772 800857158 934333351 1601714316 1868666702 2803000053 3737333404 5606000106 11212000212