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1201121211213 = 3271131190129411
BaseRepresentation
bin10001011110101000011…
…001110011001101001101
311020211022012110112121200
4101132220121303031031
5124134344012224323
62315442032020113
7152530621561260
oct21365031631515
94224265415550
101201121211213
11423435679730
12174951091639
138935a9841b1
14421c53c8cd7
152139d361443
hex117a867334d

1201121211213 has 96 divisors (see below), whose sum is σ = 2234084696064. Its totient is φ = 603493200000.

The previous prime is 1201121211179. The next prime is 1201121211247. The reversal of 1201121211213 is 3121121211021.

It is a happy number.

1201121211213 is a `hidden beast` number, since 120 + 1 + 121 + 211 + 213 = 666.

It is an interprime number because it is at equal distance from previous prime (1201121211179) and next prime (1201121211247).

It is not a de Polignac number, because 1201121211213 - 220 = 1201120162637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201121211413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40824478 + ... + 40853888.

It is an arithmetic number, because the mean of its divisors is an integer number (23271715584).

Almost surely, 21201121211213 is an apocalyptic number.

It is an amenable number.

1201121211213 is a deficient number, since it is larger than the sum of its proper divisors (1032963484851).

1201121211213 is a wasteful number, since it uses less digits than its factorization.

1201121211213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31367 (or 31364 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1201121211213 its reverse (3121121211021), we get a palindrome (4322242422234).

The spelling of 1201121211213 in words is "one trillion, two hundred one billion, one hundred twenty-one million, two hundred eleven thousand, two hundred thirteen".

Divisors: 1 3 7 9 11 21 31 33 63 77 93 99 217 231 279 341 651 693 1023 1901 1953 2387 3069 5703 7161 13307 17109 20911 21483 29411 39921 58931 62733 88233 119763 146377 176793 188199 205877 264699 323521 412517 439131 530379 617631 648241 911741 970563 1237551 1317393 1852893 1944723 2264647 2735223 2911689 3712653 4537687 5834169 6382187 6793941 8205669 10029151 13613061 19146561 20381823 30087453 40839183 55910311 57439683 70204057 90262359 167730933 210612171 391372177 503192799 615013421 631836513 1174116531 1733219641 1845040263 3522349593 4305093947 5199658923 5535120789 12132537487 12915281841 15598976769 19065416051 36397612461 38745845523 57196248153 109192837383 133457912357 171588744459 400373737071 1201121211213