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212210001220120 = 23533193907940903
BaseRepresentation
bin110000010000000011111101…
…101111011001001000011000
31000211101002002212001110200021
4300100003331233121020120
5210303322040303020440
62031155532334320224
762461444441260301
oct6020037557311030
91024332085043607
10212210001220120
1161686835427022
121b973878059074
139154417cc4557
143a59039a837a8
15198010848384a
hexc100fdbd9218

212210001220120 has 64 divisors (see below), whose sum is σ = 477640262016000. Its totient is φ = 84854179283328.

The previous prime is 212210001220099. The next prime is 212210001220127. The reversal of 212210001220120 is 21022100012212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212210001220094 and 212210001220103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212210001220127) 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, 5188107589 + ... + 5188148491.

It is an arithmetic number, because the mean of its divisors is an integer number (7463129094000).

Almost surely, 2212210001220120 is an apocalyptic number.

212210001220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210001220120 is an abundant number, since it is smaller than the sum of its proper divisors (265430260795880).

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

212210001220120 is a wasteful number, since it uses less digits than its factorization.

212210001220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83312 (or 83308 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212210001220120 its reverse (21022100012212), we get a palindrome (233232101232332).

The spelling of 212210001220120 in words is "two hundred twelve trillion, two hundred ten billion, one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3319 6638 13276 16595 26552 33190 39079 40903 66380 78158 81806 132760 156316 163612 195395 204515 312632 327224 390790 409030 781580 818060 1563160 1636120 129703201 135757057 259406402 271514114 518812804 543028228 648516005 678785285 1037625608 1086056456 1297032010 1357570570 1598448337 2594064020 2715141140 3196896674 5188128040 5430282280 6393793348 7992241685 12787586696 15984483370 31968966740 63937933480 5305250030503 10610500061006 21221000122012 26526250152515 42442000244024 53052500305030 106105000610060 212210001220120