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21214133124000 = 253531767844427
BaseRepresentation
bin1001101001011010011001…
…10111100111101110100000
32210010001101102010201000020
410310231030313213232200
510240033021034432000
6113041345504353440
74316445665215035
oct464551467475640
983101342121006
1021214133124000
1168399551083a3
122467536315880
13bab63a94acbb
14534aab7d338c
1526bc656edba0
hex134b4cde7ba0

21214133124000 has 96 divisors (see below), whose sum is σ = 69497500153536. Its totient is φ = 5657102163200.

The previous prime is 21214133123983. The next prime is 21214133124029. The reversal of 21214133124000 is 42133141212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 883910214 + ... + 883934213.

It is an arithmetic number, because the mean of its divisors is an integer number (723932293266).

Almost surely, 221214133124000 is an apocalyptic number.

21214133124000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21214133124000 is an abundant number, since it is smaller than the sum of its proper divisors (48283367029536).

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

21214133124000 is a wasteful number, since it uses less digits than its factorization.

21214133124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767844455 (or 1767844437 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21214133124000 its reverse (42133141212), we get a palindrome (21256266265212).

The spelling of 21214133124000 in words is "twenty-one trillion, two hundred fourteen billion, one hundred thirty-three million, one hundred twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1767844427 3535688854 5303533281 7071377708 8839222135 10607066562 14142755416 17678444270 21214133124 26517666405 28285510832 35356888540 42428266248 44196110675 53035332810 56571021664 70713777080 84856532496 88392221350 106070665620 132588332025 141427554160 169713064992 176784442700 212141331240 220980553375 265176664050 282855108320 353568885400 424282662480 441961106750 530353328100 662941660125 707137770800 848565324960 883922213500 1060706656200 1325883320250 1414275541600 1767844427000 2121413312400 2651766640500 3535688854000 4242826624800 5303533281000 7071377708000 10607066562000 21214133124000