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1121412330024 = 233737538341011
BaseRepresentation
bin10000010100011001011…
…000100011001000101000
310222012120011010211112220
4100110121120203020220
5121333123024030044
62215100354034040
7144006433346460
oct20243130431050
93865504124486
101121412330024
113a2652030508
12161406878920
1381996c5a93c
143c3c3190ba0
151e2856ea019
hex10519623228

1121412330024 has 256 divisors, whose sum is σ = 3393195079680. Its totient is φ = 302169553920.

The previous prime is 1121412330019. The next prime is 1121412330037. The reversal of 1121412330024 is 4200332141211.

It is a super-2 number, since 2×11214123300242 (a number of 25 digits) contains 22 as substring.

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 = 1121412329976 and 1121412330003.

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, 27323679 + ... + 27364689.

It is an arithmetic number, because the mean of its divisors is an integer number (13254668280).

Almost surely, 21121412330024 is an apocalyptic number.

1121412330024 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 1121412330024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696597539840).

1121412330024 is an abundant number, since it is smaller than the sum of its proper divisors (2271782749656).

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

1121412330024 is a wasteful number, since it uses less digits than its factorization.

1121412330024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41200 (or 41196 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1121412330024 its reverse (4200332141211), we get a palindrome (5321744471235).

The spelling of 1121412330024 in words is "one trillion, one hundred twenty-one billion, four hundred twelve million, three hundred thirty thousand, twenty-four".