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121230330312330 = 23353033791480001
BaseRepresentation
bin11011100100001000100010…
…110001100011011010001010
3120220020111200011022122122000
4123210020202301203122022
5111342214204024443310
61105500240033211430
734351413412244601
oct3344104261433212
9526214604278560
10121230330312330
113569a548aa1928
121171b300400b76
135284c8165b745
1421d1817826a38
15e0372be654c0
hex6e4222c6368a

121230330312330 has 64 divisors (see below), whose sum is σ = 323282164867200. Its totient is φ = 32327959680000.

The previous prime is 121230330312319. The next prime is 121230330312347. The reversal of 121230330312330 is 33213033032121.

121230330312330 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 303 + 303 + 1 + 23 + 30 = 666.

It is a super-6 number, since 6×1212303303123306 (a number of 86 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121230330312294 and 121230330312303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81172330 + ... + 82652330.

It is an arithmetic number, because the mean of its divisors is an integer number (5051283826050).

Almost surely, 2121230330312330 is an apocalyptic number.

121230330312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121230330312330 is an abundant number, since it is smaller than the sum of its proper divisors (202051834554870).

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

121230330312330 is a wasteful number, since it uses less digits than its factorization.

121230330312330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783396 (or 1783390 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 121230330312330 its reverse (33213033032121), we get a palindrome (154443363344451).

The spelling of 121230330312330 in words is "one hundred twenty-one trillion, two hundred thirty billion, three hundred thirty million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 303379 606758 910137 1480001 1516895 1820274 2730411 2960002 3033790 4440003 4550685 5460822 7400005 8191233 8880006 9101370 13320009 13652055 14800010 16382466 22200015 26640018 27304110 39960027 40956165 44400030 66600045 79920054 81912330 133200090 199800135 399600270 449001223379 898002446758 1347003670137 2245006116895 2694007340274 4041011010411 4490012233790 6735018350685 8082022020822 12123033031233 13470036701370 20205055052055 24246066062466 40410110104110 60615165156165 121230330312330