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1002121312120 = 235206312143981
BaseRepresentation
bin11101001010100110001…
…01011011011101111000
310112210122120001020122121
432211103011123131320
5112404321023441440
62044211305331024
7132254333415325
oct16452305333570
93483576036577
101002121312120
11356aa73a0105
12142274496a74
1373665909106
143670807db4c
151b102add34a
hexe95315b778

1002121312120 has 32 divisors (see below), whose sum is σ = 2255866096320. Its totient is φ = 400654188160.

The previous prime is 1002121312117. The next prime is 1002121312151. The reversal of 1002121312120 is 212131212001.

It is a super-2 number, since 2×10021213121202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002121312094 and 1002121312103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5989471 + ... + 6154510.

It is an arithmetic number, because the mean of its divisors is an integer number (70495815510).

Almost surely, 21002121312120 is an apocalyptic number.

1002121312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002121312120 is an abundant number, since it is smaller than the sum of its proper divisors (1253744784200).

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

1002121312120 is a wasteful number, since it uses less digits than its factorization.

1002121312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12146055 (or 12146051 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1002121312120 its reverse (212131212001), we get a palindrome (1214252524121).

The spelling of 1002121312120 in words is "one trillion, two billion, one hundred twenty-one million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2063 4126 8252 10315 16504 20630 41260 82520 12143981 24287962 48575924 60719905 97151848 121439810 242879620 485759240 25053032803 50106065606 100212131212 125265164015 200424262424 250530328030 501060656060 1002121312120