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121321213431000 = 233531119774325117
BaseRepresentation
bin11011100101011101001011…
…110101001000110011011000
3120220120012020221221102211020
4123211131023311020303120
5111400211321114243000
61110010110202002440
734361111524100262
oct3345351365106330
9526505227842736
10121321213431000
1135725046165060
1211734a44aa6420
13529070641663b
1421d5d99b28b32
15e05c9aad6ba0
hex6e574bd48cd8

121321213431000 has 512 divisors, whose sum is σ = 415604533893120. Its totient is φ = 29221360896000.

The previous prime is 121321213430983. The next prime is 121321213431007. The reversal of 121321213431000 is 134312123121.

It is a super-2 number, since 2×1213212134310002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121321213431007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4830230442 + ... + 4830255558.

It is an arithmetic number, because the mean of its divisors is an integer number (811727605260).

Almost surely, 2121321213431000 is an apocalyptic number.

121321213431000 is a gapful number since it is divisible by the number (10) 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 121321213431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207802266946560).

121321213431000 is an abundant number, since it is smaller than the sum of its proper divisors (294283320462120).

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

121321213431000 is a wasteful number, since it uses less digits than its factorization.

121321213431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26092 (or 26078 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 121321213431000 its reverse (134312123121), we get a palindrome (121455525554121).

The spelling of 121321213431000 in words is "one hundred twenty-one trillion, three hundred twenty-one billion, two hundred thirteen million, four hundred thirty-one thousand".