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121121002002120 = 23351009341683351
BaseRepresentation
bin11011100010100010101110…
…010011001001011011001000
3120212212001110212211001102120
4123202202232103021123020
5111333421303003031440
61105334115320131240
734340463225035451
oct3342425623113310
9525761425731376
10121121002002120
113565814601524a
121170208a606b20
13527787a36b123
1421ca40592c128
15e0097dcebdd0
hex6e28ae4c96c8

121121002002120 has 32 divisors (see below), whose sum is σ = 363363006006720. Its totient is φ = 32298933867200.

The previous prime is 121121002002109. The next prime is 121121002002127. The reversal of 121121002002120 is 21200200121121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121121002002120.

It is not an unprimeable number, because it can be changed into a prime (121121002002127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 504670841556 + ... + 504670841795.

It is an arithmetic number, because the mean of its divisors is an integer number (11355093937710).

Almost surely, 2121121002002120 is an apocalyptic number.

121121002002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121121002002120 is an abundant number, since it is smaller than the sum of its proper divisors (242242004004600).

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

121121002002120 is a wasteful number, since it uses less digits than its factorization.

121121002002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009341683365 (or 1009341683361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121121002002120 its reverse (21200200121121), we get a palindrome (142321202123241).

The spelling of 121121002002120 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1009341683351 2018683366702 3028025050053 4037366733404 5046708416755 6056050100106 8074733466808 10093416833510 12112100200212 15140125250265 20186833667020 24224200400424 30280250500530 40373667334040 60560501001060 121121002002120