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1212423412201 = 2924328832
BaseRepresentation
bin10001101001001010000…
…100010001100111101001
311021220110212112211200021
4101221022010101213221
5124331020343142301
62324551333240441
7153410660651461
oct21511204214751
94256425484607
101212423412201
11428205454601
12176b86193121
138a43c39a3a1
1442978482ba1
15218106e68a1
hex11a4a1119e9

1212423412201 has 27 divisors (see below), whose sum is σ = 1287011104119. Its totient is φ = 1142097192432.

The previous prime is 1212423412183. The next prime is 1212423412229. The reversal of 1212423412201 is 1022143242121.

The square root of 1212423412201 is 1101101.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 635765427801 + 576657984400 = 797349^2 + 759380^2 .

It is a de Polignac number, because none of the positive numbers 2k-1212423412201 is a prime.

It is a super-3 number, since 3×12124234122013 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1212423412231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1373072506 + ... + 1373073388.

Almost surely, 21212423412201 is an apocalyptic number.

1212423412201 is the 1101101-st square number.

1212423412201 is the 550551-st centered octagonal number.

It is an amenable number.

1212423412201 is a deficient number, since it is larger than the sum of its proper divisors (74587691918).

1212423412201 is an frugal number, since it uses more digits than its factorization.

1212423412201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Multiplying 1212423412201 by its sum of digits (25), we get a square (30310585305025 = 55055052).

Adding to 1212423412201 its reverse (1022143242121), we get a palindrome (2234566654322).

The spelling of 1212423412201 in words is "one trillion, two hundred twelve billion, four hundred twenty-three million, four hundred twelve thousand, two hundred one".

Divisors: 1 29 43 841 883 1247 1849 25607 36163 37969 53621 742603 779689 1101101 1555009 1632667 22610981 31931929 33526627 47347343 655718449 972272183 1373072947 1441644961 28195893307 41807703869 1212423412201