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121012133223213 = 351959234425143
BaseRepresentation
bin11011100000111101010101…
…001101101101101100101101
3120212110122110122000001200000
4123200331111031231230231
5111330130322101120323
61105212112340254513
734326560320503621
oct3340752515555455
9525418418001600
10121012133223213
1135615a59474301
12116a4b666a1439
13526a51a33391b
1421c5038a93181
15decc0b1a5e43
hex6e0f5536db2d

121012133223213 has 48 divisors (see below), whose sum is σ = 190841946247680. Its totient is φ = 76415794734384.

The previous prime is 121012133223151. The next prime is 121012133223217. The reversal of 121012133223213 is 312322331210121.

121012133223213 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 1 + 2 + 1 + 332 + 2 + 321 + 3 = 666.

It is not a de Polignac number, because 121012133223213 - 222 = 121012129028909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121012133223217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25133920 + ... + 29559062.

It is an arithmetic number, because the mean of its divisors is an integer number (3975873880160).

Almost surely, 2121012133223213 is an apocalyptic number.

It is an amenable number.

121012133223213 is a deficient number, since it is larger than the sum of its proper divisors (69829813024467).

121012133223213 is an equidigital number, since it uses as much as digits as its factorization.

121012133223213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431100 (or 4431088 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 121012133223213 its reverse (312322331210121), we get a palindrome (433334464433334).

The spelling of 121012133223213 in words is "one hundred twenty-one trillion, twelve billion, one hundred thirty-three million, two hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 9 19 27 57 81 171 243 513 1539 4617 5923 17769 53307 112537 159921 337611 479763 1012833 1439289 3038499 4425143 9115497 13275429 27346491 39826287 84077717 119478861 252233151 358436583 756699453 1075309749 2270098359 6810295077 20430885231 26210121989 78630365967 235891097901 497992317791 707673293703 1493976953373 2123019881109 4481930860119 6369059643327 13445792580357 40337377741071 121012133223213