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121011211013121 = 321121356359151667
BaseRepresentation
bin11011100000111100011110…
…001111110000110000000001
3120212110120002100200221020200
4123200330132033300300001
5111330121430004404441
61105211441034155413
734326525422032512
oct3340743617606001
9525416070627220
10121011211013121
1135615625952200
12116a4949882b69
13526a401261b90
1421c4d8c3d4a09
15decba523d7b6
hex6e0f1e3f0c01

121011211013121 has 72 divisors (see below), whose sum is σ = 206913093266880. Its totient is φ = 67696932029760.

The previous prime is 121011211013083. The next prime is 121011211013201. The reversal of 121011211013121 is 121310112110121.

It is not a de Polignac number, because 121011211013121 - 26 = 121011211013057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121011211013094 and 121011211013103.

It is not an unprimeable number, because it can be changed into a prime (121011211013921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 797798530 + ... + 797950196.

It is an arithmetic number, because the mean of its divisors is an integer number (2873792962040).

Almost surely, 2121011211013121 is an apocalyptic number.

121011211013121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121011211013121 is a deficient number, since it is larger than the sum of its proper divisors (85901882253759).

121011211013121 is a wasteful number, since it uses less digits than its factorization.

121011211013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208067 (or 208053 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 121011211013121 its reverse (121310112110121), we get a palindrome (242321323123242).

The spelling of 121011211013121 in words is "one hundred twenty-one trillion, eleven billion, two hundred eleven million, thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 363 429 1089 1287 1573 4719 14157 56359 151667 169077 455001 507231 619949 732667 1365003 1668337 1859847 1971671 2198001 5005011 5579541 5915013 6594003 6819439 8059337 15015033 17745039 18351707 20458317 21688381 24178011 55055121 61374951 65065143 72534033 88652707 165165363 195195429 238572191 265958121 715716573 797874363 2147149719 8547800453 25643401359 76930204077 94025804983 111121405889 282077414949 333364217667 846232244847 1000092653001 1034283854813 1222335464779 3102851564439 3667006394337 9308554693317 11001019183011 13445690112569 40337070337707 121011211013121