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121122011121 = 3127331395957
BaseRepresentation
bin111000011001101101…
…1110011011111110001
3102120122012102200101220
41300303123303133301
53441024213323441
6131350453015253
711515342051566
oct1606333633761
9376565380356
10121122011121
1147405243741
121b583624529
13b5637a3987
145c1037486d
15323d738466
hex1c336f37f1

121122011121 has 16 divisors (see below), whose sum is σ = 162818463744. Its totient is φ = 80087180544.

The previous prime is 121122011107. The next prime is 121122011189. The reversal of 121122011121 is 121110221121.

It is a happy number.

It is not a de Polignac number, because 121122011121 - 213 = 121122002929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121122011121.

It is not an unprimeable number, because it can be changed into a prime (121122011221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1214275 + ... + 1310231.

It is an arithmetic number, because the mean of its divisors is an integer number (10176153984).

Almost surely, 2121122011121 is an apocalyptic number.

It is an amenable number.

121122011121 is a deficient number, since it is larger than the sum of its proper divisors (41696452623).

121122011121 is a wasteful number, since it uses less digits than its factorization.

121122011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99400.

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

Adding to 121122011121 its reverse (121110221121), we get a palindrome (242232232242).

The spelling of 121122011121 in words is "one hundred twenty-one billion, one hundred twenty-two million, eleven thousand, one hundred twenty-one".

Divisors: 1 3 127 381 3313 9939 95957 287871 420751 1262253 12186539 36559617 317905541 953716623 40374003707 121122011121