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121230000032121 = 32101138299643961
BaseRepresentation
bin11011100100001000001111…
…000101101000100101111001
3120220020110211010211200100200
4123210020033011220211321
5111342213020002011441
61105500143154152413
734351402262021541
oct3344101705504571
9526213733750320
10121230000032121
113569a399616482
121171b229882709
135284c2b0bb276
1421d17c5a10321
15e0370ce747b6
hex6e420f168979

121230000032121 has 24 divisors (see below), whose sum is σ = 176856568653960. Its totient is φ = 80014007328000.

The previous prime is 121230000032081. The next prime is 121230000032153.

121230000032121 is a `hidden beast` number, since 1 + 21 + 2 + 300 + 0 + 0 + 0 + 321 + 21 = 666.

121230000032121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 58820632030521 + 62409368001600 = 7669461^2 + 7899960^2 .

It is not a de Polignac number, because 121230000032121 - 210 = 121230000031097 is a prime.

It is a super-2 number, since 2×1212300000321212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121230000032094 and 121230000032103.

It is not an unprimeable number, because it can be changed into a prime (121230000032221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7748581 + ... + 17392541.

It is an arithmetic number, because the mean of its divisors is an integer number (7369023693915).

Almost surely, 2121230000032121 is an apocalyptic number.

It is an amenable number.

121230000032121 is a deficient number, since it is larger than the sum of its proper divisors (55626568621839).

121230000032121 is a wasteful number, since it uses less digits than its factorization.

121230000032121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9657897 (or 9657894 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 1212300000 and 32121, that added together give a palindrome (1212332121).

The spelling of 121230000032121 in words is "one hundred twenty-one trillion, two hundred thirty billion, thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 101 303 909 13829 41487 124461 1396729 4190187 9643961 12570561 28931883 86795649 974040061 2922120183 8766360549 133366336669 400099010007 1200297030021 13470000003569 40410000010707 121230000032121