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2120021023200 = 253526191427047
BaseRepresentation
bin11110110110011011000…
…110011001100111100000
321111200010220120112212120
4132312123012121213200
5234213300340220300
64301531344024240
7306111045240423
oct36663306314740
97450126515776
102120021023200
11748106664a53
122a2a5a902080
13124bbcbcc7b2
14748769099ba
153a22ec373a0
hex1ed9b1999e0

2120021023200 has 144 divisors (see below), whose sum is σ = 6911821365120. Its totient is φ = 564425233920.

The previous prime is 2120021023163. The next prime is 2120021023259. The reversal of 2120021023200 is 23201200212.

It is a happy number.

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 2120021023200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772077 + ... + 2199123.

It is an arithmetic number, because the mean of its divisors is an integer number (47998759480).

Almost surely, 22120021023200 is an apocalyptic number.

2120021023200 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 2120021023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455910682560).

2120021023200 is an abundant number, since it is smaller than the sum of its proper divisors (4791800341920).

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

2120021023200 is a wasteful number, since it uses less digits than its factorization.

2120021023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427689 (or 1427676 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2120021023200 its reverse (23201200212), we get a palindrome (2143222223412).

The spelling of 2120021023200 in words is "two trillion, one hundred twenty billion, twenty-one million, twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 619 800 1200 1238 1857 2400 2476 3095 3714 4952 6190 7428 9285 9904 12380 14856 15475 18570 19808 24760 29712 30950 37140 46425 49520 59424 61900 74280 92850 99040 123800 148560 185700 247600 297120 371400 495200 742800 1427047 1485600 2854094 4281141 5708188 7135235 8562282 11416376 14270470 17124564 21405705 22832752 28540940 34249128 35676175 42811410 45665504 57081880 68498256 71352350 85622820 107028525 114163760 136996512 142704700 171245640 214057050 228327520 285409400 342491280 428114100 570818800 684982560 856228200 883342093 1141637600 1712456400 1766684186 2650026279 3424912800 3533368372 4416710465 5300052558 7066736744 8833420930 10600105116 13250131395 14133473488 17666841860 21200210232 22083552325 26500262790 28266946976 35333683720 42400420464 44167104650 53000525580 66250656975 70667367440 84800840928 88334209300 106001051160 132501313950 141334734880 176668418600 212002102320 265002627900 353336837200 424004204640 530005255800 706673674400 1060010511600 2120021023200