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1121222121201 = 327133737000367
BaseRepresentation
bin10000010100001110000…
…010111101011011110001
310222012001220020020002200
4100110032002331123301
5121332230330334301
62215025441133413
7144001633532010
oct20241602753361
93865056206080
101121222121201
113a2564725836
1216137302a269
1381966721140
143c3a5bdaa77
151e273b76c86
hex1050e0bd6f1

1121222121201 has 48 divisors (see below), whose sum is σ = 2047156360704. Its totient is φ = 575429692032.

The previous prime is 1121222121167. The next prime is 1121222121203. The reversal of 1121222121201 is 1021212221211.

1121222121201 is a `hidden beast` number, since 1 + 121 + 222 + 121 + 201 = 666.

It is not a de Polignac number, because 1121222121201 - 27 = 1121222121073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1121222121203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18469881 + ... + 18530486.

It is an arithmetic number, because the mean of its divisors is an integer number (42649090848).

Almost surely, 21121222121201 is an apocalyptic number.

It is an amenable number.

1121222121201 is a deficient number, since it is larger than the sum of its proper divisors (925934239503).

1121222121201 is a wasteful number, since it uses less digits than its factorization.

1121222121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37000430 (or 37000427 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1121222121201 its reverse (1021212221211), we get a palindrome (2142434342412).

The spelling of 1121222121201 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 3367 4329 10101 30303 37000367 111001101 259002569 333003303 481004771 777007707 1369013579 1443014313 2331023121 3367033397 4107040737 4329042939 9583095053 10101100191 12321122211 17797176527 28749285159 30303300573 53391529581 86247855477 124580235689 160174588743 373740707067 1121222121201