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121041495556996 = 2272277228372
BaseRepresentation
bin11011100001011000101011…
…010110001000001110000100
3120212120110020221102011102211
4123201120223112020032010
5111331120440330310441
61105233410113113204
734331650045305400
oct3341305326101604
9525513227364384
10121041495556996
1135627456773263
12116aa79bb58804
135270219572921
1421c662254c100
15ded878d21a81
hex6e162b588384

121041495556996 has 81 divisors (see below), whose sum is σ = 247385864840751. Its totient is φ = 51669433440576.

The previous prime is 121041495556981. The next prime is 121041495557009. The reversal of 121041495556996 is 699655594140121.

The square root of 121041495556996 is 11001886.

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 80834736382596 + 40206759174400 = 8990814^2 + 6340880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42665312490 + ... + 42665315326.

Almost surely, 2121041495556996 is an apocalyptic number.

121041495556996 is the 11001886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121041495556996

121041495556996 is an abundant number, since it is smaller than the sum of its proper divisors (126344369283755).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121041495556996 is an frugal number, since it uses more digits than its factorization.

121041495556996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 67.

The spelling of 121041495556996 in words is "one hundred twenty-one trillion, forty-one billion, four hundred ninety-five million, five hundred fifty-six thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 277 554 1108 1939 2837 3878 5674 7756 11348 13573 19859 27146 39718 54292 76729 79436 139013 153458 278026 306916 537103 556052 785849 1074206 1571698 2148412 3143396 3759721 5500943 7519442 8048569 11001886 15038884 16097138 22003772 32194276 38506601 56339983 77013202 112679966 154026404 217680173 225359932 394379881 435360346 788759762 870720692 1523761211 1577519524 2229453613 3047522422 4458907226 6095044844 8917814452 10666328477 15606175291 21332656954 31212350582 42665313908 62424701164 109243227037 218486454074 436972908148 617558650801 1235117301602 2470234603204 4322910555607 8645821111214 17291642222428 30260373889249 60520747778498 121041495556996