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20202120120000 = 263547131997369
BaseRepresentation
bin1001001011111101011000…
…01100011000011011000000
32122112022012111010110001010
410211332230030120123000
510121442420222320000
6110544420441440520
74153361240501520
oct445765414303300
978468174113033
1020202120120000
116489742159825
1223233811a0140
13b37089916990
144dbb05b45680
152507844e8d50
hex125fac3186c0

20202120120000 has 1120 divisors, whose sum is σ = 86534230182400. Its totient is φ = 4038045696000.

The previous prime is 20202120119999. The next prime is 20202120120073. The reversal of 20202120120000 is 2102120202.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 207431316 + ... + 207528684.

It is an arithmetic number, because the mean of its divisors is an integer number (77262705520).

Almost surely, 220202120120000 is an apocalyptic number.

20202120120000 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 20202120120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43267115091200).

20202120120000 is an abundant number, since it is smaller than the sum of its proper divisors (66332110062400).

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

20202120120000 is a wasteful number, since it uses less digits than its factorization.

20202120120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97443 (or 97418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20202120120000 its reverse (2102120202), we get a palindrome (20204222240202).

The spelling of 20202120120000 in words is "twenty trillion, two hundred two billion, one hundred twenty million, one hundred twenty thousand".