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121211021112 = 23347227473377
BaseRepresentation
bin111000011100010111…
…1010110011100111000
3102120212101220212011020
41300320233112130320
53441220010133422
6131403352502440
711520502452126
oct1607057263470
9376771825136
10121211021112
1147450509215
121b5a93aaa20
13b57906a0cc
145c1c104916
15324646b95c
hex1c38bd6738

121211021112 has 64 divisors (see below), whose sum is σ = 310838929920. Its totient is φ = 39369735168.

The previous prime is 121211021089. The next prime is 121211021137. The reversal of 121211021112 is 211120112121.

It is a happy number.

It is a super-2 number, since 2×1212110211122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121211021091 and 121211021100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19368 + ... + 492744.

It is an arithmetic number, because the mean of its divisors is an integer number (4856858280).

Almost surely, 2121211021112 is an apocalyptic number.

121211021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121211021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155419464960).

121211021112 is an abundant number, since it is smaller than the sum of its proper divisors (189627908808).

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

121211021112 is a wasteful number, since it uses less digits than its factorization.

121211021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473660 (or 473656 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121211021112 its reverse (211120112121), we get a palindrome (332331133233).

The spelling of 121211021112 in words is "one hundred twenty-one billion, two hundred eleven million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 227 282 376 454 564 681 908 1128 1362 1816 2724 5448 10669 21338 32007 42676 64014 85352 128028 256056 473377 946754 1420131 1893508 2840262 3787016 5680524 11361048 22248719 44497438 66746157 88994876 107456579 133492314 177989752 214913158 266984628 322369737 429826316 533969256 644739474 859652632 1289478948 2578957896 5050459213 10100918426 15151377639 20201836852 30302755278 40403673704 60605510556 121211021112