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121131211331130 = 235721113271624311
BaseRepresentation
bin11011100010101100001110…
…110100101001011000111010
3120212220000211101110200222020
4123202230032310221120322
5111334103210100044010
61105342524341335310
734341304223641200
oct3342541664513072
9525800741420866
10121131211331130
1135661504a04240
1211704059707536
13527881652ac00
1421caad37c1070
15e00d7a258470
hex6e2b0ed2963a

121131211331130 has 576 divisors, whose sum is σ = 405110842546176. Its totient is φ = 22906683072000.

The previous prime is 121131211331129. The next prime is 121131211331159. The reversal of 121131211331130 is 31133112131121.

It is a self number, because there is not a number n which added to its sum of digits gives 121131211331130.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 193711675 + ... + 194335985.

It is an arithmetic number, because the mean of its divisors is an integer number (703317434976).

Almost surely, 2121131211331130 is an apocalyptic number.

121131211331130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121131211331130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202555421273088).

121131211331130 is an abundant number, since it is smaller than the sum of its proper divisors (283979631215046).

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

121131211331130 is a wasteful number, since it uses less digits than its factorization.

121131211331130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624443 (or 624423 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

Adding to 121131211331130 its reverse (31133112131121), we get a palindrome (152264323462251).

The spelling of 121131211331130 in words is "one hundred twenty-one trillion, one hundred thirty-one billion, two hundred eleven million, three hundred thirty-one thousand, one hundred thirty".