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1221201133131 = 37194174650109
BaseRepresentation
bin10001110001010101010…
…000100111111001001011
311022202010121101021010110
4101301111100213321023
5130002004442230011
62333002334245403
7154141334234550
oct21612520477113
94282117337113
101221201133131
114309aa226221
12178815956863
138b20aa927b5
144316c156a27
1521b76117ba6
hex11c55427e4b

1221201133131 has 32 divisors (see below), whose sum is σ = 2006594956800. Its totient is φ = 644976933120.

The previous prime is 1221201133043. The next prime is 1221201133133. The reversal of 1221201133131 is 1313311021221.

It is not a de Polignac number, because 1221201133131 - 27 = 1221201133003 is a prime.

It is a super-2 number, since 2×12212011331312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1221201133098 and 1221201133107.

It is not an unprimeable number, because it can be changed into a prime (1221201133133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37308696 + ... + 37341413.

It is an arithmetic number, because the mean of its divisors is an integer number (62706092400).

Almost surely, 21221201133131 is an apocalyptic number.

1221201133131 is a deficient number, since it is larger than the sum of its proper divisors (785393823669).

1221201133131 is a wasteful number, since it uses less digits than its factorization.

1221201133131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74650179.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1221201133131 its reverse (1313311021221), we get a palindrome (2534512154352).

The spelling of 1221201133131 in words is "one trillion, two hundred twenty-one billion, two hundred one million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 7 19 21 41 57 123 133 287 399 779 861 2337 5453 16359 74650109 223950327 522550763 1418352071 1567652289 3060654469 4255056213 9181963407 9928464497 21424581283 29785393491 58152434911 64273743849 174457304733 407067044377 1221201133131