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2120011021220 = 225177698108357
BaseRepresentation
bin11110110110011010100…
…000001111101110100100
321111200010012202101201212
4132312122200033232210
5234213240310134340
64301530345410552
7306110564232221
oct36663240175644
97450105671655
102120011021220
11748100a53354
122a2a57499a58
13124bbab0a071
1474875464948
153a22de0da65
hex1ed9a80fba4

2120011021220 has 48 divisors (see below), whose sum is σ = 4720037358960. Its totient is φ = 797083828224.

The previous prime is 2120011021157. The next prime is 2120011021223. The reversal of 2120011021220 is 221201100212.

It can be written as a sum of positive squares in 8 ways, for example, as 50049743524 + 2069961277696 = 223718^2 + 1438736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2120011021195 and 2120011021204.

It is not an unprimeable number, because it can be changed into a prime (2120011021223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3792719 + ... + 4315638.

It is an arithmetic number, because the mean of its divisors is an integer number (98334111645).

Almost surely, 22120011021220 is an apocalyptic number.

2120011021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120011021220 is an abundant number, since it is smaller than the sum of its proper divisors (2600026337740).

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

2120011021220 is a wasteful number, since it uses less digits than its factorization.

2120011021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8109152 (or 8109150 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2120011021220 its reverse (221201100212), we get a palindrome (2341212121432).

The spelling of 2120011021220 in words is "two trillion, one hundred twenty billion, eleven million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 769 1538 3076 3845 7690 13073 15380 26146 52292 65365 130730 261460 8108357 16216714 32433428 40541785 81083570 137842069 162167140 275684138 551368276 689210345 1378420690 2756841380 6235326533 12470653066 24941306132 31176632665 62353265330 106000551061 124706530660 212001102122 424002204244 530002755305 1060005510610 2120011021220