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121522204211521 = 41267240132
BaseRepresentation
bin11011101000011000010111…
…110100000111100101000001
3120221021102001100112222200111
4123220120113310013211001
5111412004433234232041
61110242310243551321
734411455335406241
oct3350302764074501
9527242040488614
10121522204211521
11357a2306222333
121176799838b541
1352a6657a95479
1422019c5637b21
15e0b11101a981
hex6e8617d07941

121522204211521 has 27 divisors (see below), whose sum is σ = 126476797651113. Its totient is φ = 116759619324480.

The previous prime is 121522204211501. The next prime is 121522204211539. The reversal of 121522204211521 is 125112402225121.

The square root of 121522204211521 is 11023711.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4427384098225 + 117094820113296 = 2104135^2 + 10821036^2 .

It is not a de Polignac number, because 121522204211521 - 231 = 121520056727873 is a prime.

It is a super-2 number, since 2×1215222042115212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121522204211501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30282132111 + ... + 30282136123.

Almost surely, 2121522204211521 is an apocalyptic number.

121522204211521 is the 11023711-st square number.

121522204211521 is the 5511856-th centered octagonal number.

It is an amenable number.

121522204211521 is a deficient number, since it is larger than the sum of its proper divisors (4954593439592).

121522204211521 is an frugal number, since it uses more digits than its factorization.

121522204211521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8242 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

Adding to 121522204211521 its reverse (125112402225121), we get a palindrome (246634606436642).

The spelling of 121522204211521 in words is "one hundred twenty-one trillion, five hundred twenty-two billion, two hundred four million, two hundred eleven thousand, five hundred twenty-one".

Divisors: 1 41 67 1681 2747 4013 4489 112627 164533 184049 268871 6745853 7546009 11023711 16104169 18014357 451972151 660270929 738588637 1078979323 27071108089 30282134117 44238152243 72291614641 1813764241963 2963956200281 121522204211521