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122002000000 = 275661001
BaseRepresentation
bin111000110011111100…
…0101100100010000000
3102122220112021202012121
41301213320230202000
53444330003000000
6132014050134024
711546215614046
oct1614770544200
9378815252177
10122002000000
1147816a48381
121b78a281314
13b673bb1b5a
145c951a2396
153290b10b1a
hex1c67e2c880

122002000000 has 112 divisors (see below), whose sum is σ = 303814665810. Its totient is φ = 48800000000.

The previous prime is 122001999983. The next prime is 122002000013. The reversal of 122002000000 is 200221.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 55285176384 + 66716823616 = 235128^2 + 258296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1969500 + ... + 2030500.

Almost surely, 2122002000000 is an apocalyptic number.

122002000000 is a gapful number since it is divisible by the number (10) 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 122002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151907332905).

122002000000 is an abundant number, since it is smaller than the sum of its proper divisors (181812665810).

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

122002000000 is an frugal number, since it uses more digits than its factorization.

122002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61045 (or 61008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 122002000000 its reverse (200221), we get a palindrome (122002200221).

The spelling of 122002000000 in words is "one hundred twenty-two billion, two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 61001 62500 80000 100000 122002 125000 200000 244004 250000 305005 400000 488008 500000 610010 976016 1000000 1220020 1525025 1952032 2000000 2440040 3050050 3904064 4880080 6100100 7625125 7808128 9760160 12200200 15250250 19520320 24400400 30500500 38125625 39040640 48800800 61001000 76251250 97601600 122002000 152502500 190628125 195203200 244004000 305005000 381256250 488008000 610010000 762512500 953140625 976016000 1220020000 1525025000 1906281250 2440040000 3050050000 3812562500 4880080000 6100100000 7625125000 12200200000 15250250000 24400400000 30500500000 61001000000 122002000000