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12205000000 = 26572441
BaseRepresentation
bin10110101110111100…
…11000010101000000
31011111120212020111001
423113132120111000
5144443440000000
65335031301344
7611310534244
oct132736302500
934446766431
1012205000000
1151a344a166
12244751a854
1311c677c8bb
1483ad42424
154b676646a
hex2d7798540

12205000000 has 112 divisors (see below), whose sum is σ = 30286445904. Its totient is φ = 4880000000.

The previous prime is 12204999991. The next prime is 12205000021. The reversal of 12205000000 is 50221.

It can be written as a sum of positive squares in 8 ways, for example, as 6762101824 + 5442898176 = 82232^2 + 73776^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 4998780 + ... + 5001220.

Almost surely, 212205000000 is an apocalyptic number.

12205000000 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 12205000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15143222952).

12205000000 is an abundant number, since it is smaller than the sum of its proper divisors (18081445904).

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

12205000000 is an frugal number, since it uses more digits than its factorization.

12205000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Adding to 12205000000 its reverse (50221), we get a palindrome (12205050221).

The spelling of 12205000000 in words is "twelve billion, two hundred five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2441 2500 3125 4000 4882 5000 6250 8000 9764 10000 12205 12500 15625 19528 20000 24410 25000 31250 39056 40000 48820 50000 61025 62500 78112 78125 97640 100000 122050 125000 156224 156250 195280 200000 244100 250000 305125 312500 390560 488200 500000 610250 625000 781120 976400 1000000 1220500 1250000 1525625 1952800 2441000 2500000 3051250 3905600 4882000 5000000 6102500 7628125 9764000 12205000 15256250 19528000 24410000 30512500 38140625 48820000 61025000 76281250 97640000 122050000 152562500 190703125 244100000 305125000 381406250 488200000 610250000 762812500 1220500000 1525625000 2441000000 3051250000 6102500000 12205000000