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212141530131200 = 28522271171124699
BaseRepresentation
bin110000001111000100001100…
…100010111010101100000000
31000211010112100222121202111222
4300033010030202322230000
5210301211323203144300
62031104250141254212
762453501610520325
oct6017041442725400
91024115328552458
10212141530131200
116165a79927152a
121b962549264368
13914ab25552617
143a559c2138b4c
15197d44c1cd785
hexc0f10c8bab00

212141530131200 has 216 divisors, whose sum is σ = 527851191403200. Its totient is φ = 84409971609600.

The previous prime is 212141530131161. The next prime is 212141530131247. The reversal of 212141530131200 is 2131035141212.

It is a self number, because there is not a number n which added to its sum of digits gives 212141530131200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1701166451 + ... + 1701291149.

Almost surely, 2212141530131200 is an apocalyptic number.

212141530131200 is a gapful number since it is divisible by the number (20) 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 212141530131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263925595701600).

212141530131200 is an abundant number, since it is smaller than the sum of its proper divisors (315709661272000).

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

212141530131200 is a wasteful number, since it uses less digits than its factorization.

212141530131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126123 (or 126104 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 212141530131200 its reverse (2131035141212), we get a palindrome (214272565272412).

The spelling of 212141530131200 in words is "two hundred twelve trillion, one hundred forty-one billion, five hundred thirty million, one hundred thirty-one thousand, two hundred".