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1002212020120 = 235672931276313
BaseRepresentation
bin11101001010110000111…
…11011100111110011000
310112210212212201200122011
432211120133130332120
5112410012234120440
62044224305435304
7132256514420203
oct16453037347630
93483785650564
101002212020120
113570436153a3
1214229a93bb34
137367b64839c
143671613293a
151b10aa599ea
hexe9587dcf98

1002212020120 has 64 divisors (see below), whose sum is σ = 2296446253920. Its totient is φ = 393553357824.

The previous prime is 1002212020099. The next prime is 1002212020127. The reversal of 1002212020120 is 210202122001.

It is a happy number.

It is a super-2 number, since 2×10022120201202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1002212020120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002212020127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147084 + ... + 1423396.

Almost surely, 21002212020120 is an apocalyptic number.

1002212020120 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 1002212020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148223126960).

1002212020120 is an abundant number, since it is smaller than the sum of its proper divisors (1294234233800).

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

1002212020120 is a wasteful number, since it uses less digits than its factorization.

1002212020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276684 (or 1276680 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1002212020120 its reverse (210202122001), we get a palindrome (1212414142121).

The spelling of 1002212020120 in words is "one trillion, two billion, two hundred twelve million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 293 335 536 586 670 1172 1340 1465 2344 2680 2930 5860 11720 19631 39262 78524 98155 157048 196310 392620 785240 1276313 2552626 5105252 6381565 10210504 12763130 25526260 51052520 85512971 171025942 342051884 373959709 427564855 684103768 747919418 855129710 1495838836 1710259420 1869798545 2991677672 3420518840 3739597090 7479194180 14958388360 25055300503 50110601006 100221202012 125276502515 200442404024 250553005030 501106010060 1002212020120