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121132331022000 = 24353433701126859
BaseRepresentation
bin11011100010101101010001…
…100011111011011010110000
3120212220010201102100220002110
4123202231101203323122300
5111334113003220201000
61105343231420245320
734341344041105104
oct3342552143733260
9525803642326073
10121132331022000
1135661a29a485a1
12117043106a0840
1352789644b439c
1421cab9c3a7904
15e00de36cd850
hex6e2b518fb6b0

121132331022000 has 320 divisors, whose sum is σ = 399723868177920. Its totient is φ = 31541973120000.

The previous prime is 121132331021993. The next prime is 121132331022089. The reversal of 121132331022000 is 220133231121.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954794571 + ... + 954921429.

It is an arithmetic number, because the mean of its divisors is an integer number (1249137088056).

Almost surely, 2121132331022000 is an apocalyptic number.

121132331022000 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 121132331022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199861934088960).

121132331022000 is an abundant number, since it is smaller than the sum of its proper divisors (278591537155920).

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

121132331022000 is a wasteful number, since it uses less digits than its factorization.

121132331022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130629 (or 130613 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 121132331022000 its reverse (220133231121), we get a palindrome (121352464253121).

The spelling of 121132331022000 in words is "one hundred twenty-one trillion, one hundred thirty-two billion, three hundred thirty-one million, twenty-two thousand".