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121002120122000 = 245313191307187409
BaseRepresentation
bin11011100000110100000000…
…011000110000111010010000
3120212102200121210120211001112
4123200310000120300322100
5111324444320222401000
61105203335004552452
734326054223524665
oct3340640030607220
9525380553524045
10121002120122000
1135611790321147
12116a3031252728
1352695b2a0a170
1421c4768cbda6c
15dec8220ab235
hex6e0d00630e90

121002120122000 has 320 divisors, whose sum is σ = 331928717702400. Its totient is φ = 42293637734400.

The previous prime is 121002120121957. The next prime is 121002120122003. The reversal of 121002120122000 is 221021200121.

It is not an unprimeable number, because it can be changed into a prime (121002120122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 645564296 + ... + 645751704.

It is an arithmetic number, because the mean of its divisors is an integer number (1037277242820).

Almost surely, 2121002120122000 is an apocalyptic number.

121002120122000 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 121002120122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165964358851200).

121002120122000 is an abundant number, since it is smaller than the sum of its proper divisors (210926597580400).

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

121002120122000 is a wasteful number, since it uses less digits than its factorization.

121002120122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188771 (or 188755 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121002120122000 its reverse (221021200121), we get a palindrome (121223141322121).

The spelling of 121002120122000 in words is "one hundred twenty-one trillion, two billion, one hundred twenty million, one hundred twenty-two thousand".