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12101033430024 = 23371121697350789
BaseRepresentation
bin1011000000010111110111…
…0011001000110000001000
31120211211212211022010112020
42300011331303020300020
53041230404024230044
641423045451044440
72356161614004360
oct260057563106010
946754784263466
1012101033430024
113946023997200
121435317740720
1369a179342786
142db99bdad9a0
1515eb97c41a19
hexb017dcc8c08

12101033430024 has 192 divisors, whose sum is σ = 38025748252800. Its totient is φ = 3141264445440.

The previous prime is 12101033430019. The next prime is 12101033430029. The reversal of 12101033430024 is 42003433010121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12101033430019) and next prime (12101033430029).

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

It is a junction number, because it is equal to n+sod(n) for n = 12101033429976 and 12101033430003.

It is not an unprimeable number, because it can be changed into a prime (12101033430029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34321222 + ... + 34672010.

It is an arithmetic number, because the mean of its divisors is an integer number (198050772150).

Almost surely, 212101033430024 is an apocalyptic number.

12101033430024 is a gapful number since it is divisible by the number (14) 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 12101033430024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19012874126400).

12101033430024 is an abundant number, since it is smaller than the sum of its proper divisors (25924714822776).

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

12101033430024 is a wasteful number, since it uses less digits than its factorization.

12101033430024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352524 (or 352509 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12101033430024 its reverse (42003433010121), we get a palindrome (54104466440145).

The spelling of 12101033430024 in words is "twelve trillion, one hundred one billion, thirty-three million, four hundred thirty thousand, twenty-four".