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2120021012220 = 2235671116147251
BaseRepresentation
bin11110110110011011000…
…110010110111011111100
321111200010220112222210220
4132312123012112323330
5234213300334342340
64301531343501340
7306111045163416
oct36663306267374
97450126488726
102120021012220
11748106657781
122a2a5a8b7850
13124bbcbc77b7
14748769059b6
153a22ec33ed0
hex1ed9b196efc

2120021012220 has 96 divisors (see below), whose sum is σ = 6025324037376. Its totient is φ = 556839360000.

The previous prime is 2120021012183. The next prime is 2120021012227. The reversal of 2120021012220 is 222101200212.

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 2120021012220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120021012227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44843595 + ... + 44890845.

It is an arithmetic number, because the mean of its divisors is an integer number (62763792056).

Almost surely, 22120021012220 is an apocalyptic number.

2120021012220 is a gapful number since it is divisible by the number (20) 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 2120021012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3012662018688).

2120021012220 is an abundant number, since it is smaller than the sum of its proper divisors (3905303025156).

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

2120021012220 is a wasteful number, since it uses less digits than its factorization.

2120021012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58491 (or 58489 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2120021012220 its reverse (222101200212), we get a palindrome (2342122212432).

The spelling of 2120021012220 in words is "two trillion, one hundred twenty billion, twenty-one million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 11161 22322 33483 44644 47251 55805 66966 94502 111610 133932 141753 167415 189004 223220 236255 283506 334830 472510 567012 669660 708765 747787 945020 1417530 1495574 2243361 2835060 2991148 3165817 3738935 4486722 6331634 7477870 8973444 9497451 11216805 12663268 14955740 15829085 18994902 22433610 31658170 37989804 44867220 47487255 63316340 94974510 189949020 527368411 1054736822 1582105233 2109473644 2636842055 3164210466 5273684110 6328420932 7910526165 10547368220 15821052330 31642104660 35333683537 70667367074 106001050611 141334734148 176668417685 212002101222 353336835370 424004202444 530005253055 706673670740 1060010506110 2120021012220