Search a number
-
+
121021111021000 = 23531931367730059
BaseRepresentation
bin11011100001000101101100…
…010101010010110111001000
3120212111111122022022102222011
4123201011230111102313020
5111330302213410133000
61105220155245505304
734330325643514321
oct3341055425226710
9525444568272864
10121021111021000
11356198461806a3
12116a6851272234
13526b31b30c2c8
1421c564b169448
15ded0844492ba
hex6e116c552dc8

121021111021000 has 256 divisors, whose sum is σ = 299498168736000. Its totient is φ = 45645068851200.

The previous prime is 121021111020977. The next prime is 121021111021067. The reversal of 121021111021000 is 120111120121.

It is a happy number.

It is a super-2 number, since 2×1210211110210002 (a number of 29 digits) contains 22 as substring.

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, 4026103971 + ... + 4026134029.

It is an arithmetic number, because the mean of its divisors is an integer number (1169914721625).

Almost surely, 2121021111021000 is an apocalyptic number.

121021111021000 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 121021111021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149749084368000).

121021111021000 is an abundant number, since it is smaller than the sum of its proper divisors (178477057715000).

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

121021111021000 is a wasteful number, since it uses less digits than its factorization.

121021111021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31089 (or 31075 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 121021111021000 its reverse (120111120121), we get a palindrome (121141222141121).

The spelling of 121021111021000 in words is "one hundred twenty-one trillion, twenty-one billion, one hundred eleven million, twenty-one thousand".