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121211001021 = 311311011173127
BaseRepresentation
bin111000011100010111…
…1010001100010111101
3102120212101212211121010
41300320233101202331
53441220004013041
6131403352225433
711520502336425
oct1607057214275
9376771784533
10121211001021
11474504a5110
121b5a939b279
13b579060c16
145c1c0db485
153246465a16
hex1c38bd18bd

121211001021 has 32 divisors (see below), whose sum is σ = 183796310016. Its totient is φ = 70387560000.

The previous prime is 121211000971. The next prime is 121211001031. The reversal of 121211001021 is 120100112121.

It is not a de Polignac number, because 121211001021 - 29 = 121211000509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121211000988 and 121211001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121211001031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483241 + ... + 689886.

It is an arithmetic number, because the mean of its divisors is an integer number (5743634688).

Almost surely, 2121211001021 is an apocalyptic number.

121211001021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121211001021 is a deficient number, since it is larger than the sum of its proper divisors (62585308995).

121211001021 is a wasteful number, since it uses less digits than its factorization.

121211001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173273.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121211001021 its reverse (120100112121), we get a palindrome (241311113142).

Subtracting from 121211001021 its reverse (120100112121), we obtain a square (1110888900 = 333302).

It can be divided in two parts, 12121100 and 1021, that added together give a palindrome (12122121).

The spelling of 121211001021 in words is "one hundred twenty-one billion, two hundred eleven million, one thousand, twenty-one".

Divisors: 1 3 11 31 33 93 101 303 341 1023 1111 3131 3333 9393 34441 103323 1173127 3519381 12904397 36366937 38713191 109100811 118485827 355457481 400036307 1200108921 1303344097 3673060637 3910032291 11019181911 40403667007 121211001021