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2120501222440 = 2353116131060187
BaseRepresentation
bin11110110110110111101…
…110001101110000101000
321111201101101011012101121
4132312313232031300220
5234220241303104230
64302051140225024
7306125665665256
oct36666756156050
97451341135347
102120501222440
11748332727827
122a2b7369b174
13124c68541063
14748c05c95d6
153a25be8d77a
hex1edb7b8dc28

2120501222440 has 64 divisors (see below), whose sum is σ = 4928093084160. Its totient is φ = 820329519360.

The previous prime is 2120501222407. The next prime is 2120501222447. The reversal of 2120501222440 is 442221050212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2120501222447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1470027 + ... + 2530213.

It is an arithmetic number, because the mean of its divisors is an integer number (77001454440).

Almost surely, 22120501222440 is an apocalyptic number.

2120501222440 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 2120501222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464046542080).

2120501222440 is an abundant number, since it is smaller than the sum of its proper divisors (2807591861720).

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

2120501222440 is a wasteful number, since it uses less digits than its factorization.

2120501222440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061842 (or 1061838 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 2120501222440 its reverse (442221050212), we get a palindrome (2562722272652).

The spelling of 2120501222440 in words is "two trillion, one hundred twenty billion, five hundred one million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1613 3226 6452 8065 12904 16130 32260 50003 64520 100006 200012 250015 400024 500030 1000060 1060187 2000120 2120374 4240748 5300935 8481496 10601870 21203740 32865797 42407480 65731594 131463188 164328985 262926376 328657970 657315940 1314631880 1710081631 3420163262 6840326524 8550408155 13680653048 17100816310 34201632620 53012530561 68403265240 106025061122 212050122244 265062652805 424100244488 530125305610 1060250611220 2120501222440