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20121401432121 = 31123347467316349
BaseRepresentation
bin1001001001100111000001…
…11111000001100000111001
32122020120212001200020121120
410210303200333001200321
510114132112231311441
6110443351052055453
74144503041123133
oct444634077014071
978216761606546
1020121401432121
1164584905a9920
12230b7b4764589
13b2c59492b682
144d7c4976a053
1524d60cdb5966
hex124ce0fc1839

20121401432121 has 64 divisors (see below), whose sum is σ = 30636432230400. Its totient is φ = 11627764797440.

The previous prime is 20121401432063. The next prime is 20121401432159. The reversal of 20121401432121 is 12123410412102.

It is not a de Polignac number, because 20121401432121 - 29 = 20121401431609 is a prime.

It is a super-4 number, since 4×201214014321214 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20121401432091 and 20121401432100.

It is not an unprimeable number, because it can be changed into a prime (20121401432021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1230733855 + ... + 1230750203.

It is an arithmetic number, because the mean of its divisors is an integer number (478694253600).

Almost surely, 220121401432121 is an apocalyptic number.

It is an amenable number.

20121401432121 is a deficient number, since it is larger than the sum of its proper divisors (10515030798279).

20121401432121 is a wasteful number, since it uses less digits than its factorization.

20121401432121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21406.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 20121401432121 its reverse (12123410412102), we get a palindrome (32244811844223).

The spelling of 20121401432121 in words is "twenty trillion, one hundred twenty-one billion, four hundred one million, four hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 11 23 33 69 253 347 759 1041 3817 4673 7981 11451 14019 16349 23943 49047 51403 87791 107479 154209 179839 263373 322437 376027 539517 1128081 1182269 1621531 3546807 4136297 4864593 5673103 12408891 17019309 17836841 37295213 53510523 62404133 76398877 111885639 130481369 187212399 229196631 391444107 410247343 840387647 1230742029 1435295059 1757174171 2521162941 4305885177 5271522513 19328915881 26510410319 57986747643 79531230957 291614513509 609739437337 874843540527 1829218312011 6707133810707 20121401432121