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2120122020000 = 25354172078551
BaseRepresentation
bin11110110110100001000…
…111101011000010100000
321111200101221121201102210
4132312201013223002200
5234214002214120000
64301545352442120
7306113412553635
oct36664107530240
97450357551383
102120122020000
11748158677386
122a2a886a9340
13124c07b01c0a
14748860ba18c
153a238a37350
hex1eda11eb0a0

2120122020000 has 240 divisors, whose sum is σ = 7363511572032. Its totient is φ = 532108800000.

The previous prime is 2120122019867. The next prime is 2120122020043. The reversal of 2120122020000 is 202210212.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19276 + ... + 2059275.

Almost surely, 22120122020000 is an apocalyptic number.

2120122020000 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 2120122020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681755786016).

2120122020000 is an abundant number, since it is smaller than the sum of its proper divisors (5243389552032).

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

2120122020000 is a wasteful number, since it uses less digits than its factorization.

2120122020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078601 (or 2078578 counting only the distinct ones).

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

Adding to 2120122020000 its reverse (202210212), we get a palindrome (2120324230212).

The spelling of 2120122020000 in words is "two trillion, one hundred twenty billion, one hundred twenty-two million, twenty thousand".