Search a number
-
+
1120112100120 = 2335134145738321
BaseRepresentation
bin10000010011001011111…
…000100100001100011000
310222002012112112022102210
4100103023320210030120
5121322442144200440
62214323345355120
7143632264520646
oct20231370441430
93862175468383
101120112100120
113a2045096542
12161103338aa0
138181a772130
143c2dc610196
151e20b4b1a80
hex104cbe24318

1120112100120 has 256 divisors, whose sum is σ = 3715296439680. Its totient is φ = 268399411200.

The previous prime is 1120112100097. The next prime is 1120112100131. The reversal of 1120112100120 is 210012110211.

It is a super-2 number, since 2×11201121001202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1120112100096 and 1120112100105.

It is a congruent number.

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, 29210560 + ... + 29248880.

Almost surely, 21120112100120 is an apocalyptic number.

1120112100120 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 1120112100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857648219840).

1120112100120 is an abundant number, since it is smaller than the sum of its proper divisors (2595184339560).

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

1120112100120 is a wasteful number, since it uses less digits than its factorization.

1120112100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38846 (or 38842 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1120112100120 its reverse (210012110211), we get a palindrome (1330124210331).

The spelling of 1120112100120 in words is "one trillion, one hundred twenty billion, one hundred twelve million, one hundred thousand, one hundred twenty".