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12006053520 = 2435109458947
BaseRepresentation
bin10110010111001110…
…11101011010010000
31010222201111201012220
423023213131122100
5144042022203040
65303203221040
7603343525326
oct131347353220
933881451186
1012006053520
11510111678a
1223b0977780
1311944a3ca6
1481c755d16
154a40692d0
hex2cb9dd690

12006053520 has 80 divisors (see below), whose sum is σ = 37560304320. Its totient is φ = 3172234752.

The previous prime is 12006053441. The next prime is 12006053533. The reversal of 12006053520 is 2535060021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×120060535202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 203314 + ... + 255633.

It is an arithmetic number, because the mean of its divisors is an integer number (469503804).

Almost surely, 212006053520 is an apocalyptic number.

12006053520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12006053520 is an abundant number, since it is smaller than the sum of its proper divisors (25554250800).

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

12006053520 is a wasteful number, since it uses less digits than its factorization.

12006053520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459072 (or 459066 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 12006053520 in words is "twelve billion, six million, fifty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 240 327 436 545 654 872 1090 1308 1635 1744 2180 2616 3270 4360 5232 6540 8720 13080 26160 458947 917894 1376841 1835788 2294735 2753682 3671576 4589470 5507364 6884205 7343152 9178940 11014728 13768410 18357880 22029456 27536820 36715760 50025223 55073640 100050446 110147280 150075669 200100892 250126115 300151338 400201784 500252230 600302676 750378345 800403568 1000504460 1200605352 1500756690 2001008920 2401210704 3001513380 4002017840 6003026760 12006053520